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Question

Find the measure of an angle which is 26 less than its supplementary.

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Solution

Angles are supplement means addition of angles are 180 degree

let's consider

measure of angle = x

measure of supplement angle =x-26

so

x+ (x - 26) = 180

2x -26= 180

2x = 206

x = 103

measure of angle = x=103

measure of supplement angle =x-26=103-26=77

(C) the measure of the angle is 77 degree and the measure of the supplement is 103 degree

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