Question

∠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.(1 point) x°+°=180°

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the sum of the measures of two supplementary angles, you add the measures together and set the sum equal to 180 degrees.

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

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

Simplify the equation:

3x + 90 = 180

Subtract 90 from both sides:

3x = 90

Divide by 3:

x = 30

Therefore, the unknown angle measures are:

m∠KLM = x + 30 = 30 + 30 = 60 degrees
m∠MLP = 2x + 60 = 2(30) + 60 = 120 + 60 = 180 degrees

So, the solution is x = 30.