1 Marks Question

Question 11 Mark

In the adjoining figure, the vertically opposite angles are:

Answer

From the given figure, we can easily see that
Pairs of vertically opposite angles are:
$\angle 1 $ and $ \angle 3$
$ \angle 2 $ and $ \angle 4$
$ \angle 5 $ and $ \angle 7$
$ \angle 6 $ and $ \angle 8$

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Question 21 Mark

In the adjoining figure, write the pairs of interior angles on the same side of the transversal.

Answer

From the given figure,
Pairs of alternate interior angles on the same side of the transversal are as follows:
$\angle 2$ and $\angle 5$
$\angle 3$ and $\angle 8$

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Question 31 Mark

In the adjoining figure,the pairs of alternate interior angles.

Answer

From the above given figure, we see that
the Pairs of alternate interior angles are:
$\angle 2$ and $ \angle 8$
$\angle 3$ and $ \angle 5$

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Question 41 Mark

In the adjoining figure, identify the pairs of corresponding angles.

Answer

From the given figure, we can see that
Pairs of corresponding angles are as follows:
$ \angle 1 $ and $ \angle 5$
$ \angle 2 $ and $ \angle 6$
$ \angle 3 $ and $ \angle 7$
$ \angle 4 $ and $ \angle 8$

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Question 51 Mark

State the property that is used in the statement: If $\angle4 + \angle5 = 180^\circ $, then $a \| b.$

Answer

From the above-given figure, it is clear that,
$\angle 4 + \angle 5 = 180^{\circ}$
Because, we know that the interior angles on the same side of the transversal are supplementary.

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Question 61 Mark

State the property that is used in the statement: If $\angle 4 = \angle 6$, then $a \| b.$

Answer

From the above-given figure, it is clear that,
$\angle 4 = \angle 6$
This is because of the pair follows alternate interior angle property.

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Question 71 Mark

State the property that is used in the statement: If $a \| b$, then $\angle 1 = \angle 5$

Answer

From the above-given figure, it is clear that,
$\angle 1 = \angle 5$
This is because a is parallel to b and $\angle 1$ and $\angle 5$ form a corresponding pair of angles.
Hence, these angles are equal due to the corresponding angle property.

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Question 81 Mark

Identify whether the pair of angles are complementary or supplementary: $112^\circ , 68^\circ $

Answer

Here, Sum of the measures of the given angles = $112^{\circ}+68^{\circ}=180^{\circ}$
As the sum of these angles is equal to $180^{\circ}$
Therefore,
These angles are supplementary angles.

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Question 91 Mark

Identify whether the pair of angles are complementary or supplementary: $65^\circ , 115^\circ $

Answer

Since, sum of the measures of the given angles = $115^{\circ}+65^{\circ}=180^{\circ}$
Therefore, These angles are supplementary angles.

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Question 101 Mark

Find the supplement of angle:

Answer

We know that,
Sum of measures of supplementary angles is $180^{\circ}$
It is given in the question that,
One of the angle $=154^{\circ}$
Therefore, its supplement $=180^{\circ}-154^{\circ}=26^{\circ}$

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Question 111 Mark

Find the supplement of the angle:

Answer

We know that,
Sum of measures of supplementary angles is $180^{\circ}$
One of the angle $=87^{\circ}$
Therefore, its supplement $=180^{\circ}-87^{\circ}=93^{\circ}$

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Question 121 Mark

Find the supplement of angle:

Answer

We know that,
Sum of measures of supplementary angles is $180^{\circ}$
One of the angle $=105^{\circ}$
Therefore, its supplement $=180^{\circ}-105^{\circ}=75^{\circ}$

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Question 131 Mark

Find the complement of angle:

Answer

We know that,
Sum of measures of complementary angles is $90^{\circ}$
One of the angle $=57^{\circ}$
Therefore, its complement $=90^{\circ}-57^{\circ}=33^{\circ}$

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Question 141 Mark

Find the complement of angle:

Answer

We know that,
Sum of measures of complementary angles is $90^{\circ}$
One of the angle $=63^{\circ}$
Therefore, its complement $=90^{\circ}-63^{\circ}=27^{\circ}$

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Question 151 Mark

Find the complement of angle:

Answer

We know that,
Sum of measures of complementary angles is $90^{\circ}$
One of the angles $=20^{\circ}$
Therefore, Complement $=90^{\circ}-20^{\circ}=70^{\circ}$

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Question 161 Mark

In the given figure identify

Two pairs of vertically opposite angles.

Answer

The two pairs of vertically opposite angles are:
$( \angle COB, \angle AOD)$, and $( \angle AOC, \angle BOD)$

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Question 171 Mark

In the given figure identify

Three linear pairs.

Answer

Three linear pairs of angles in the above figure are:
$(\angle AOE, \angle EOB), (\angle AOC, \angle COB), (\angle COB, \angle BOD)$

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Question 181 Mark

In the given figure identify Five pairs of adjacent angles.

Answer

Five pairs of adjacent angles in the above given figure are:
$(\angle AOE, \angle EOC), (\angle EOC, \angle COB), (\angle AOC, \angle COB), (\angle COB, \angle BOD), (\angle EOB, \angle BOD)$

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