Question 13 Marks
With the help of your protractor, measure each of the angles $A, B, C, D$, shown in Fig. and find out their sum.
Answer
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Questions
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26 questions · self-marked practice — reveal the answer and mark yourself.
Question 23 Marks
With the help of your protractor, measure each of the angles $A, B, C$ shown in Fig. and find out their sum.
Answer
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Question 33 Marks
Draw the letter $'Y'$ such that the three angles formed are $150^{\circ}, 60^{\circ}$ and $150^{\circ}$.
Answer
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Question 43 Marks
Draw the letter '$M$' such that the angles on the side are $40^{\circ}$ each and the angle in the middle is $60^{\circ}$.
Answer
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Question 53 Marks
Make any figure with three acute angles, one right angle and two obtuse angles.
Answer
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Question 63 Marks
In Fig., $\angle T E R=80^{\circ}$. What is the measure of $\angle B E T$ ? What is the measure of $\angle S E T$ ?
Answer
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Question 73 Marks
Find the degree measures of $\angle P Q R, \angle P Q S$, and $\angle P Q T$.
Answer
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Question 83 Marks
Name the different angles in Fig. and write their measures.
Answer
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Question 93 Marks
Find the degree measures of $\angle B O E, \angle C O E, \angle A O B$ and $\angle B O C$.
Answer
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Question 103 Marks
Measure $\angle A O B$ given in Fig. and construct an angle $\angle P Q R$ equal to $\angle A O B$.
Answer
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Question 113 Marks
What is the measure of the angle in degrees between:
(i) North and West?
(ii) North and South?
(iii) North and South-East?
(i) North and West?
(ii) North and South?
(iii) North and South-East?
Answer
View full question & answer→(ii) $90^{\circ}$
(ii) $180^{\circ}$
(iii) $135^{\circ}$
(ii) $180^{\circ}$
(iii) $135^{\circ}$
Question 123 Marks
In Fig., write another name for:
(i) $\angle 1$ (ii) $\angle 2$ (iii) $\angle 3$
(i) $\angle 1$ (ii) $\angle 2$ (iii) $\angle 3$
Answer
View full question & answer→(i) $\angle E P B$ or $\angle B P E$
(ii) $\angle C Q P$ or $\angle P Q C$
(iii) $\angle D Q F$ or $\angle F Q D$
(ii) $\angle C Q P$ or $\angle P Q C$
(iii) $\angle D Q F$ or $\angle F Q D$
Question 133 Marks
In Fig., write another name for:
(i) $\angle 1$ (ii) $\angle 2$ (iii) $\angle 3$ (iv) $\angle 4$
(i) $\angle 1$ (ii) $\angle 2$ (iii) $\angle 3$ (iv) $\angle 4$
Answer
View full question & answer→(i) $\angle B O D$ or $\angle D O B$
(ii) $\angle B O C$ or $\angle C O B$
(iii) $\angle C O A$ or $\angle A O C$
(iv) $\angle A O D$ or $\angle D O A$
(ii) $\angle B O C$ or $\angle C O B$
(iii) $\angle C O A$ or $\angle A O C$
(iv) $\angle A O D$ or $\angle D O A$
Question 143 Marks
In Fig., list the points which are: (i) in the interior of $\angle P$ (ii) in the exterior of $\angle P$ and (iii) lie on $\angle P$.
Answer
View full question & answer→(i) $J , C$
(ii) $B, D$
(iii) $A, P, M$
(ii) $B, D$
(iii) $A, P, M$
Question 153 Marks
How many angles are formed in the figures (i), (ii) and (iii)? Name them.
Answer
View full question & answer→(i) Three: $\angle A B C, \angle A C B, \angle B A C$
(ii) Four: $\angle A B C, \angle B C D, \angle C D A, \angle D A B$
(iii) Eight: $\angle A B C, \angle B C D, \angle C D A, \angle D A B, \angle C A B, \angle C A D, \angle B C A, \angle A C D$
(ii) Four: $\angle A B C, \angle B C D, \angle C D A, \angle D A B$
(iii) Eight: $\angle A B C, \angle B C D, \angle C D A, \angle D A B, \angle C A B, \angle C A D, \angle B C A, \angle A C D$
Question 163 Marks
Which angle is greater: $\angle XOY$ or $\angle A O B$ ? Give reasons.
$\begin{array}{l}\text {[HINT: } \angle XOY =\angle XOA +\angle A O Y \\ \angle A O B=\angle B O Y+\angle A O Y \\ \therefore \angle XOY -\angle A O B=[\angle X O A+\angle A O Y]-[\angle B O Y+\angle A O Y]\\ =\angle X O A-\angle B O Y\end{array}$
We observe that $\angle X O A>\angle B O Y$
$
\therefore \angle X O A-\angle B O Y>0 \Rightarrow \angle X O Y-\angle A O B>0 \Rightarrow \angle X O Y>\angle A O B]
$
$\begin{array}{l}\text {[HINT: } \angle XOY =\angle XOA +\angle A O Y \\ \angle A O B=\angle B O Y+\angle A O Y \\ \therefore \angle XOY -\angle A O B=[\angle X O A+\angle A O Y]-[\angle B O Y+\angle A O Y]\\ =\angle X O A-\angle B O Y\end{array}$
We observe that $\angle X O A>\angle B O Y$
$
\therefore \angle X O A-\angle B O Y>0 \Rightarrow \angle X O Y-\angle A O B>0 \Rightarrow \angle X O Y>\angle A O B]
$
Answer
View full question & answer→$\angle X O Y$
Question 173 Marks
In Fig., determine which angle is greater and why?
(i) $\angle A O B$ or $\angle X O Y$
(ii) $\angle A O B$ or $\angle X O B$
(iii) $\angle X O B$ or $\angle X O C$
(i) $\angle A O B$ or $\angle X O Y$
(ii) $\angle A O B$ or $\angle X O B$
(iii) $\angle X O B$ or $\angle X O C$
Answer
View full question & answer→(i) $\angle A O B$
(ii) $\angle A O B$
(iii) $\angle XOB =\angle XOC$
(ii) $\angle A O B$
(iii) $\angle XOB =\angle XOC$
Question 183 Marks
Mark any three points on a paper that are not on one line. Label them $A, B, C$. Draw all possible lines going through pairs of these points. How many lines do you get? Name them. How many angles can you name using $A, B, C$ ? Write them down, and mark each of them.
Answer
View full question & answer→3 lines, $A B, B C, A C$. Three angles, $\angle A B C, \angle A C B, \angle B C A$.
Question 193 Marks
Give three examples of angles from your environment.
Answer
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Question 203 Marks
In Fig., name:
(i) Five line segments.
(ii) Five rays
(iii) Non-intersecting line segments.
(i) Five line segments.
(ii) Five rays
(iii) Non-intersecting line segments.
Answer
View full question & answer→(i) $P Q, R S, P R, Q S, A P$
(ii) $\overrightarrow{Q C}, \overrightarrow{S D}, \overrightarrow{P A}, \overrightarrow{R B}, \overrightarrow{R A}$
(iii) $P R, Q S$
(ii) $\overrightarrow{Q C}, \overrightarrow{S D}, \overrightarrow{P A}, \overrightarrow{R B}, \overrightarrow{R A}$
(iii) $P R, Q S$
Question 213 Marks
Mark three non-collinear points $A, B$ and $C$ in your note book. Draw lines through these points taking two at a time. Name these lines. How many such different lines can be drawn?
Answer
View full question & answer→AB, BC, AC, Three lines
Question 223 Marks
How many lines may pass through one given point, two given points, any three collinear points?
Answer
View full question & answer→Unlimited, only one, one
Question 233 Marks
Lines $p, q$ and $r$ are concurrent. Also lines $p, s$ and $t$ are concurrent. Is it always true that the lines $q, r$ and $s$ will be concurrent? Is it always true for lines $q, r$ and $t$ ?
Answer
View full question & answer→No, No
Question 243 Marks
Lines $p, q$ and $r$ are concurrent. Also, lines $p, r$ and $s$ are concurrent. Draw a figure and state whether lines $p, q, r$ and $s$ are concurrent or not.
Answer
View full question & answer→Concurrent
Question 253 Marks
Mark four points $A, B, C$ and $D$ in your notebook such that no three of them are collinear. Draw all the lines which join them in pairs as shown in Fig.
(i) How many such lines can be drawn?
(ii) Write the names of these lines.
(iii) Name the lines which are concurrent at $A$.
(i) How many such lines can be drawn?
(ii) Write the names of these lines.
(iii) Name the lines which are concurrent at $A$.
Answer
View full question & answer→(i) $\operatorname{six}$
(ii) $A B, B C, C D, A D, B D, A C$
(iii) $A C, A B, A D$
(ii) $A B, B C, C D, A D, B D, A C$
(iii) $A C, A B, A D$
Question 263 Marks
From Fig, write concurrent lines and their points of concurrence.
Answer
View full question & answer→$n, q, l ;$ Point of concurrence $A, q, m, p ;$ point of concurrence $B$.