Fill In The Blanks[1 Marks ]

Question 11 Mark

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

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

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

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

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

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

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

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

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 $180'.$ 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

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

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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