Question

Angle is one fifth of its supplement the measure angle is​

Answer 1

Answer: The measure of the smaller angle is 75 degrees.

Given:

Angle 1 + Angle 2 = 180 degrees

Angle 1 = x

Angle 2 = 7/5 * x

x + 7/5 * x = 180

x + 7x/5 = 180

5(x + 7x/5) = 5(180)

5x + 7x = 900

12x = 900

x = 900/12

x = 75 degrees. Angle 1.

Angle 2 = 7/5 * x = 7/5 * 75 = (7 * 75)/5 = 525/5 = 105 degrees

To check:

Angle 1 + Angle 2 = 180 degrees

75 deg + 105 deg = 180 deg

180 deg = 180 deg

Explanation: