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Maths 1 Mark Question

Angles and their measurement · Maharashtra Board STD 6 (MSBSHSE - Semi English Medium). 42 questions.

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42 questions · self-marked practice — reveal the answer and mark yourself.

Question 11 Mark
Construct the following angles with help of a protractor:
165°
Answer

Draw a ray OP. Place the protractor in such a way that its centre lies exactly at O and the base line lies along OP. Starting from 0° on the side of P, look for the 165° mark on the protractor. Mark a point Q at this 165° mark. Remove the protractor and draw the ray OQ. Then, $\angle\text{POQ}$ is the required angle whose measure is 165°.
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Question 21 Mark
Measure of the following angles with the help of a protractor and write the measure in degrees:
Answer
The given angle is $\angle\text{PQR}.$ Place the protractor in such a way that its centre is exactly on the vertex Q of the given angle and the base line lies along the arm QR. Read of the mark through which the arm QP passes, starting from 0° on the side of R.
We find that $\angle\text{PQR}=67^\circ.$
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Question 31 Mark
State the type of the following angles:
Answer
$\angle\text{AOB}$ is an obtuse angle since its measure is more than 90°.
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Question 41 Mark
State the type of the following angles:
Answer
$\angle\text{HOG}$ is an acute angle since its measure is more than 0 but less than 90°.
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Question 51 Mark
See the adjacent figure and state the following statement are true and false.
Point B is in the exterior of $\angle\text{AOD}.$
Answer
True.Solution:
Point B lies in the exterior of angle AOD.
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Question 61 Mark
How many angles are formed in the figures given below? Name them.
Answer
In the given figure, eight angles are formed.
$\angle\text{ABC},\angle\text{BCD},\angle\text{CDA},\angle\text{BAD},\angle\text{ABD},\angle\text{DCB},\angle\text{ADB and }\angle\text{BDC}$
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Question 71 Mark
Classify the angles whose magnitudes are given below:
179°
Answer
Obtuse angle.
This is because its measure is more than 90° but less than 180°
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Question 81 Mark
Classify the angles whose magnitudes are given below:
91°
Answer
Obtuse angle.
This is because its measure is more than 90° but less than 180°
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Question 91 Mark
Measure of the following angles with the help of a protractor and write the measure in degrees:
Answer
The given angle is $\angle\text{LMN}.$ Place the protractor in such a way that its centre is exactly on the vertex M of the given angle and the base line lies along the arm ML. Read off the mark through which the arm MN passes, starting from 0° on the side of L.
We find that $\angle\text{LMN}=50^\circ.$
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Question 101 Mark
Classify the angles whose magnitudes are given below:
80°
Answer
Acute angle.
This is because its measure is more than 0° but less than 90°
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Question 111 Mark
Measure of the following angles with the help of a protractor and write the measure in degrees:
Answer
The given angle is $\angle\text{DEF}.$ Place the protractor in such a way that its centre is exactly on the vertex E of the given angle and the base line lies along the arm ED. Read off the mark through which the arm EF passes, starting from 0° on the side of D.
We find that $\angle\text{DEF}=130^\circ.$
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Question 121 Mark
Measure of the following angles with the help of a protractor and write the measure in degrees:
Answer
The given angle is $\angle\text{RST}.$ Place the protractor in such a way that its centre is exactly on the vertex S of the given angle and the base line lies along the arm SR. Read off the mark through which the arm ST passes, starting from 0° on the side of R.
We find that the $\angle\text{RST}=130^\circ.$
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Question 131 Mark
State the type of the following angles:
Answer
$\angle\text{POP}$ is a complete angle since its measure is 360°.
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Question 151 Mark
How many degrees are there in the angle between the hour hand and the minute hand of a clock, when it is:
9 o'clock?
Answer
90°.
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Question 161 Mark
How many angles are formed in the figures given below? Name them.
Answer
In the given figure, three angles are formed.
Names of the angles are: $\angle\text{ABC},\angle\text{BAC and }\angle\text{ACB}$
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Question 171 Mark
How many degrees are there in the angle between the hour hand and the minute hand of a clock, when it is:
3 o'clock?
Answer
90°.
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Question 181 Mark
Classify the angles whose magnitudes are given below:
128°
Answer
Obtuse angle.
This is because its measure is more than 90° but less than 180°
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Question 191 Mark
See the adjacent figure and state the following statement are true and false.
Point D is the interior of $\angle\text{AOC}.$
Answer
False.Solution:
Point D lies in the exterior of angle AOC.
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Question 201 Mark
See the adjacent figure and state the following statement are true and false.
Ponit C is in the interior of $\angle\text{AOD}.$
Answer
True.Solution:
Point C lies in the interior of angle AOD.
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Question 211 Mark
Measure of the following angles with the help of a protractor and write the measure in degrees:
Answer
Place the protractor in such a way that its centre is exactly at the vertex O of the given angle AOB and the base line lies along the arm OA. Read off the mark through which the arm OB passes, starting from 0° on the side A.
We find that $\angle\text{AOB}=45^\circ.$
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Question 221 Mark
Classify the angles whose magnitudes are given below:
(38.3)°
Answer
Acute angle.
This is because its measure is more than 0° but less than 90°
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Question 231 Mark
State the type of the following angles:
Answer
$\angle\text{POQ}$ is a reflex angle since its measure is more than 180° but less than 360°.
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Question 251 Mark
Classify the angles whose magnitudes are given below:
0°
Answer
Zero angle.
This is because its measure is zero.
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Question 261 Mark
Classify the angles whose magnitudes are given below:
360°
Answer
Complete angle.
This is because its measure is 360°
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Question 281 Mark
Name the vertex and the arms of $\angle\text{ABC},$ given in the figure below.
Answer
In the given angle ABC, the vertex is B and arms are $\vec{\text{AB}}\text{ and }\vec{\text{BC}}.$
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Question 291 Mark
Classify the angles whose magnitudes are given below:
15°
Answer
Acute angle.
This is because its measure is more than 0° but less than 90°
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Question 301 Mark
Classify the angles whose magnitudes are given below:
30°
Answer
Acute angle.
This is because its measure is less than 90° but more than 0°
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Question 321 Mark
How many angles are formed in the figures given below? Name them.
Answer
In the given figure, four angles are formed.
$\angle\text{ABC},\angle\text{BCD},\angle\text{CDA and }\angle\text{BAD}$
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Question 331 Mark
How many degrees are there in the angle between the hour hand and the minute hand of a clock, when it is:
6 o'clock?
Answer
180°.
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Question 341 Mark
Classify the angles whose magnitudes are given below:
(90.5)°
Answer
Obtuse angle.
This is because its measure is more than 90° but less than 180°
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Question 361 Mark
See the adjacent figure and state the following statement are true and false.
Point C lies on $\angle\text{AOB}.$
Answer
False.Solution:
Point C lies in the interior of angle AOB.
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Question 381 Mark
Classify the angles whose magnitudes are given below:
181°
Answer
Reflex angle.
This is because its measure is more than 180° but less than 360°
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Question 391 Mark
Classify the angles whose magnitudes are given below:
90°
Answer
Right angle.
This is because its measure is 90°
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Question 401 Mark
How many degrees are there in the angle between the hour hand and the minute hand of a clock, when it is:
12 o'clock?
Answer
0°.
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Question 411 Mark
Measure of the following angles with the help of a protractor and write the measure in degrees:
Answer
The given angle is $\angle\text{GHI}.$ Place the protractor in such a way that its centre is exactly on the vertex H of the given angle and the base line lies along the arm HI. Read off the mark through which the arm HG passes, starting from 0° on the side of I.
We find that $\angle\text{GHI}= 70^\circ.$
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Question 421 Mark
State the type of the following angles:
Answer
$\angle\text{COD}$ is a right angle since its measure is 90°.
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