Question

Two angles are supplementary. The larger angle is 15 more than 10 times the smaller angle. Find the measure of each angle.

Answer 1

Answer:

The angles are 165 and 15

Step-by-step explanation:

Supplementary angles whose sum is 180°

Let A and B be the two supplementary angles.

Let A be the larger angle and B the smaller angle.

From the question, we were told that the large angle (A) is 15 more than 10 times the smaller angle ie

A = 15 + 10B

We can solve for the value of A and B by doing the following:

A + B = 180

But A = 15 + 10B

15 + 10B + B = 180

Collect like terms

10B + B = 180 — 15

11B = 165

Divide both side by the coefficient of B i.e 11

B = 165/11

B = 15

A = 15 + 10B

A = 15 + 10(15)

A = 15 + 150

A = 165

The angles are 165 and 15