Question

An angle measures 10° less than the measure of its supplementary angle. What is the measure of each angle?​

Answer 1

The two angles are 85 and 95 degrees

Explanation:

Supplementary angles add to 180

Let x be one angle

The supplement is 10 less, ( x-10)

They add to 180

x+ ( x-10) = 180

2x -10 = 180

Add 10 to each side

2x-10+10 =180-10

2x= 190

Divide by 2

2x/2 =190/2

x=95

The other angle is 95-10 = 85

The two angles are 85 and 95 degrees