Question

Use an algebraic equation to find the measures of the two angles described below. Begin by letting x represent the degree measure of the​ angle's supplement.

The measure of the angle is thirty dash five times greater than its supplement.


What is the measure of the​ supplement?

Answer 1

Answer:

Explanation:

For two angles x and y to be supplementary, the sum of the angles must be 180°

x+y = 180

x = 180-y... 1

If the measure of the angle is five times greater than its supplement this is expressed as:

x = 5y…. 2

Substitute equation 2 into 1

5y = 180-y

5y+y = 180

6y = 180

y = 30°

Hence the measure of the supplement is x = 5y

x = 5(30)

x = 150°