Question

The supplement of an angle is 80° less than three times the measure of the complement of the angle find the measure of the supplement of the angle

Answer 1

Answer:

135

Step-by-step explanation:

The supplement of an angle is 80° less than three times the measure of the complement of the angle find the measure of the supplement of the angle

Two Angles are Supplementary when they add up to 180 degrees.

Two Angles are Complementary when they add up to 90 degrees

Let the angle = x

Supplement of the angle = y

The supplement of an angle is 80° less than three times the measure of the complement of the angle find the measure of the supplement of the angle

x - 180 = 3(x - 90)

x - 180 = 3x - 270

Collect like terms

3x - x = 270 - 180

2x = 90

x = 90/2

x = 45

x+ y = 180

45 + y = 180

y = 180 -45

y = 135