Question

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Prove this ⤵️ ____________________________

Angles supplementary to the same angle or to congruent angles are congruent.

____________________________​

Answer 1

Here's your answer↓

let the supplementary angles be x and y

and z

the sum of measure of supplementary180° angles is 180°

x+y=180°------(1)

z+y=180°------(2)

from (1) and (2)

x+y=z+y

x+y-y=z

x=z

x and z are the angles which are supplementary to same angle

hence, angles supplementary to same angle or to congruent angles are congruent

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