In the adjoining figure, name the following pairs of angles. Obtuse vertically opposite angles

In the above figure, 1 ) ∠ A O D and ∠ B O C 2 ) ∠ A O B and ∠ C O D are vertically opposite angles Among them obtuse vertically opposite angles are ∠ A O D and ∠ B O C

In the adjoining figure, name the following pairs of angles. Adjacent complementary angles.

When the sum of measures of two angles is 90 ° , the angles are called complementary angles. Adjacent angles means angles with common vertex and common arm. For example, ∠ AOE , ∠ EOD ; ∠ EOD , ∠ DOC etc. From the figure, we can see that, EO is perpendicular to BD . Therefore, ∠ EOB = ∠ EOD = 90 ° Now, ∠ EOB = ∠ EOA + ∠ AOB ∴ ∠ EOA + ∠ AOB = 90 ° Therefore, ∠ E O A and ∠ A O B are adjacent complementary angles.

In the adjoining figure, name the following pairs of angles. Equal supplementary angles.

When the sum of measures of two angles is 180 ° , the angles are called supplementary angles. Now, the pair of supplementary angles in the given figure are ∠ AOB , ∠ AOD ; ∠ AOE , ∠ EOC ; ∠ EOB , ∠ EOD ; ∠ AOD , ∠ DOC ; ∠ AOB , ∠ BOC ; ∠ BOC , ∠ COD etc. From the figure, we can see that, EO is perpendicular to BD . Therefore, ∠ EOB = ∠ EOD = 90 ° In the above figure, ∠ E O B and ∠ E O D are equal supplementary angles.

In the adjoining figure, name the following pairs of angles. Unequal supplementary angles

Supplementary angles means sum of angles should be 180 ° Unequal angles means two angles that do not have same value. In the above figure, unequal supplementary angles are: ∠ E O A and ∠ E O C , ∠ D O A and ∠ A O B , ∠ A O D and ∠ D O C , ∠ C O B and ∠ A O B , ∠ B O C and ∠ C O D

In the adjoining figure, name the following pairs of angles. Adjacent angles that do not form a linear pair

Linear pair is a pair of adjacent angles whose sum should be 180 ° In the above figure, the adjacent angles, that do not form linear pair are: ∠ A O B and ∠ A O E , ∠ A O E and ∠ E O D , ∠ E O D and ∠ C O D

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MATHEMATICS A TEXTBOOK FOR CLASS 7>Chapter 5 - Lines and Angles>Exercise 5.1>Q 13

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If two lines intersect at a point, then the vertically opposite angles are always .

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Important Questions on Lines and Angles

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7th Jammu and Kashmir Board

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MATHEMATICS A TEXTBOOK FOR CLASS 7>Chapter 5 - Lines and Angles>Exercise 5.1>Q 13

If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are _____ angles.