Question

find the measure of an angle whose supplement is thirteen times its component. Hint: The supplement and complement of an angle are (180-0)⁰ and (90-0)⁰ respectively.

Answer 1

If the angles are suplemental it means that their sum equals 180º

Let A represent one angle and B represent the other

The first one A measures x and B is 13 times greather then B=13x

A+B=180º

x+13x=180º

14x=180º

x=12.85

A= 12.85º

B= 12.85*13= 167.05º