Question

how to find supplementry angles

Answer 1

Let the measure of one of the supplementary angles be .

Measure of the other angle is times .

So, measure of the other angle is .

If the sum of the measures of two angles is , then the angles are supplementary.

So,

3 a = 180 °

To isolate , divide both sides of the equation by .

3 a 3 = 180 ° 3 a = 60 °

Answer 2

Two angles are supplementary. If the measure of the angle is twice the measure of the other, find the measure of each angle.

Let the measure of one of the supplementary angles be aa .

Measure of the other angle is 22 times aa .

So, measure of the other angle is 2a2a .

If the sum of the measures of two angles is 180°180° , then the angles are supplementary.

So, a+2a=180°a+2a=180°

Simplify.

3a=180°3a=180°

To isolate aa , divide both sides of the equation by 33 .

3a3=180°3    a=60°3a3=180°3    a=60°

The measure of the second angle is,

2a=2×60°       =120°2a=2×60°       =120°

So, the measures of the two supplementary angles are 60°60° and 120°120°

Hope it helps ya!