Therefore, straight pair of angles are adjacent angles whose non-common eight are opposite rays. 


All nearby angles carry out not kind a straight pair.

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From the over figure we can observe; OX and also OY space two the opposite rays and ∠XOZ and ∠YOZ space the adjacent angles. Therefore, ∠XOZ and also ∠YOZ kind a direct pair. 

If you measure ∠XOZ and ∠YOZ through the aid of the protractor, girlfriend will discover the amount of their measures equal to 180°.Thus, the sum of the angle in a direct pair is 180°.

Worked-out troubles on straight Pair that angles:In the offered figure, ∠AOC and also ∠ BOC type a linear pair if x - y = 60°, uncover the value of x and also y.


Solution: offered x - y = 60° ………… (i)

We recognize that, x + y = 180° ………… (ii)

Adding (i) and (ii)

2x = 240°

x = 240°/2

Therefore, x = 120°Since, x - y = 60°

or, 120° - y = 60°

or, 120° - 120° - y = 60° - 120°

or, -y = -60°

Therefore, y = 60°

● Lines and Angles

Fundamental Geometrical Concepts


Classification that Angles

Related Angles

Some Geometric Terms and also Results

Complementary Angles

Supplementary Angles

Complementary and also Supplementary Angles

Adjacent Angles

Linear Pair the Angles

Vertically the contrary Angles

Parallel Lines

Transversal Line

Parallel and also Transversal Lines

7th Grade math Problems 8th Grade math Practice From linear Pair of angles to residence PAGE

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