Question

KLM and MLP are supplementary angles. The angles have the following measures: mKLM= (x+30) and mMLP= (2x+60). What is an equation to solve for the unknown angle measures? Write the equation in simplest terms. (1 point)

Answer 1

Since KLM and MLP are supplementary angles, their measures add up to 180 degrees.

Therefore, we can write the equation:

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

Simplifying this equation gives:

3x + 90 = 180

Subtracting 90 from both sides, we get:

3x = 90

Dividing by 3 gives:

x = 30

Therefore, the measure of angle KLM is:

x + 30 = 30 + 30 = 60 degrees

And the measure of angle MLP is:

2x + 60 = 2(30) + 60 = 60 + 60 = 120 degrees

So, the equation to solve for the unknown angle measures is:

mKLM = 60 and mMLP = 120