Questions

Fill In The Blanks[1 Marks ]

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

Question 11 Mark
Fill in the blank in the following to make the statement true: If two parallel lines are intersected by a transversal, then each pair of corresponding angles are ______.
Answer
If two parallel lines are intersected by a transversal, then each pair of corresponding angles are equal.
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Question 21 Mark
Fill in the blank so as to make the following statements true: If one angle of a linear pair is acute, then its other angle will be ________ .
Answer
If one angle of a linear pair is acute, then its other angle will be Obtuse.
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Question 31 Mark
Fill in the blank in the following to make the statement true: If a transversal intersects a pair of lines in such a way that a pair of alternate angles we equal. then the lines are ______.
Answer
If a transversal intersects a pair of lines in such a way that a pair of alternate angles we equal. then the lines are parallel.
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Question 41 Mark
Fill in the blank in the following to make the statement true: Two lines parallel to the same line are __________ to each other.
Answer
Two lines parallel to the same line are parallel to each other.
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Question 51 Mark
Fill in the blank so as to make the following statements true:If the sum of two adjacent angles is $180^\circ ,$ then the _____ arms of the two angles are opposite rays.
Answer
If the sum of two adjacent angles is $180^\circ ,$ then the Uncommon arms of the two angles are opposite rays.
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Question 61 Mark
Fill in the blank in the following to make the statement true: If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are _______.
Answer
If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are supplementary.
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Question 71 Mark
Fill in the blank in the following to make the statement true: Two lines perpendicular to the same line are _______ to each other.
Answer
Two lines perpendicular to the same line are parallel to each other.
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Question 81 Mark
Fill in the blank so as to make the following statements true:A ray stands on a line, then the sum of the two adjacent angles so formed is ______.
Answer
A ray stands on a line, then the sum of the two adjacent angles so formed is $180^\circ .$
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Question 91 Mark
Fill in the blank in the following to make the statement true: If a transversal intersects a pair of lines in such a way that the sum of interior angles on the same side of transversal is $180^\circ .$ Then the lines are _____ .
Answer
If a transversal intersects a pair of lines in such a way that the sum of interior angles on the seine side of transversal is $180^\circ.$ then the lines are parallel.
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Question 101 Mark
The supplement of a right angle is _______ .
Answer
We have to find the supplement of a right angle. We know that a right angle is equal to $90^\circ $. Let the required angle be $x^\circ .$ Since the two angles are supplementary, therefore their sum must be equal to $180^\circ $. Thus, the require angle becomes $x = (180 - 90)^\circ x = 90^\circ $
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Question 111 Mark
The complement of an acute angle is _______ .
Answer
The complement of an acute angle is an acute angle. Explanation: As the sum of the complementary angles is $90^\circ .$ Let one of the angle measures $x^\circ $. Then, other angle becomes$(90 - x)^\circ ,$ which is clearly an acute angle.
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Question 121 Mark
The supplement of an acute angle is ________ .
Answer
The supplement of an acute angle is an obtuse angle.
Explanation: As the sum of the supplementary angles is$180^\circ .$
Let one of the angle measure $x^\circ ,$ such that $x < 90.$ Let the other angle measures $y^\circ .$
As the angles are supplementary there sum is $180^\circ .$
$x + y = 180^\circ ...(1) $
$x < 90^\circ ...(2)$
Now subtracting $(1)$ from $(2) -y < -90^\circ y > 90^\circ $ Then,
other angle $y$ is clearly an obtuse angle.
Illustration: Let the given acute angle be $30^\circ $ Then,
the other angle becomes $(180 - 30)^\circ = 150^\circ $ This is clearly an obtuse angle.
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Question 141 Mark
If the arms of one angle are respectively parallel to the arms of another angle, then the two angles are either __________ or __________.
Answer
equal, supplementary
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Question 151 Mark
AB is a straight line and P is a point on it. If a line PQ is drawn not coinciding with PA and PB, then $\angle A P Q$ and $\angle B P Q$ are __________.
Answer
supplementary
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Question 161 Mark
If two parallel lines are intersected by a transversal then the bisectors of the interior angles form a __________.
Answer
rectangle
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Question 171 Mark
The supplement of an angle and the complement of another have a sum equal to half of a complete angle. If the greater angle is 10 deg more than the smaller, then the measures of the angles are __________.
Answer
$40^{\circ}, 50^{\circ}$
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Question 191 Mark
If a transversal intersects two parallel lines then each pair of consecutive interior angle is __________.
Answer
supplementary
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Question 221 Mark
If two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 2 : 3 then the greater of the two angles is __________.
Answer
$108^{\circ}$
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Question 251 Mark
If $x^0$ is the measure of an angle which is equal to its complement and  $y^{\circ}$ is the measure of an angle which is equal to its supplement, then $\frac{x^{\circ}}{y^{\circ}}$ is equal to __________.
Answer
$\frac{1}{2}$
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Question 261 Mark
If two complementary angles are in the ratio 7: 11, the supplement of the larger angle is __________.
Answer
$125^{\circ}$
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Question 271 Mark
An angle is $\frac{2}{3}$ times its supplementary angle, the measure of the angle is __________.
Answer
$72^{\circ}$
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