Question

The measure of an angle's supplement is 76 less than the measure of the angle. Find the measure of the angle and its supplement

Answer 1

Answer:

Let x be the angle, which means 180-x is its supplement.

x - (180 -x) = 76

2x = 256

x = 128

supplement = 52

Answer 2

Given :  The measure of an angle's supplement is 76 less than the measure of the angle.

To Find: the measure of the angle and its supplement

Solution:

Let say measure of the angle = x

Then measure of   angle's supplement is  x - 76°

Angles are supplementary if their  measures adds up to 180°

Hence x + x - 76° = 180°

=> 2x = 256°

=> x = 128°

x - 76° = 128° - 76°  = 52°

Hence angle is 128°

and its supplement = 52°

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