Question

among two supplementary angles the measure of the larger angle is 44 degree more than the measure of the smaller. Find their measures.​

Answer 1

Answer:

68,112 are the measurements

Answer 2

Given:

Among two supplementary angles the measure of the larger angles is 44 degrees more than the measure of the smaller.

Find:

The measure of each angle

Solution:

Let the larger angle be x + 44

Let the smaller angle be x

（Larger angle + smaller angle = 180°）

We know that

The sum of supplementary angles is 180°

=> 180 = x + x + 44

=> 180 = 2x + 44

=> 180 - 44 = 2x

=> 136 = 2x

=> 136/2 = x

=> x = 68

So,

Larger angle = x + 44 = 68+44 = 112°

Smaller angle = x = 68°

Hence, the measure of each angle is 68° and 112°

I hope it will help you.

Regards.