∠KLM and ∠MLP are supplementary angles. The angles have the following measures: m∠KLM=(x+30)° and m∠MLP=(2x+60)° . What is an equation to solve for the unknown angle measures? Write the equation in simplest terms.

Answer 1

Since ∠KLM and ∠MLP are supplementary angles, their measures add up to 180 degrees. Therefore, the equation to solve for the unknown angle measures is:

(x + 30) + (2x + 60) = 180

Simplifying:

3x + 90 = 180

Subtracting 90 from both sides:

3x = 90

Dividing by 3:

x = 30

So, the measure of ∠KLM is (30 + 30) = 60 degrees, and the measure of ∠MLP is (2 * 30 + 60) = 120 degrees.