Question

. The measure of an angle is 26 more than its supplement. What is the measure of the shorter angle?

Answer 1

Step-by-step explanation:

Let the shorter angle be x

Then, the greater angle=x+26

A/q

x+x+26 = 180

2x+26=180

2x = 180-26

2x = 154

x = 154/2

x = 77

Hence, the measure of the shorter angle = 77°

Answer 2

The measure of the shorter angle is 77°

Given:

The measure of the angle = 26°

To find:

The measure of the shorter angle

Solution:

Let the shorter angle be x

Then, as per the question since it is more than supplement, thus -

The greater angle=x+26

Therefore,

x + x +26 = 180

2x + 26 =180

2x = 180-26

2x = 154

x = 154/2

x = 77

Answer:  The measure of the shorter angle is 77°

#SPJ2