∠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°.
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
Therefore, the measures of ∠KLM and ∠MLP are:
∠KLM = x + 30 = 30 + 30 = 60°
∠MLP = 2x + 60 = 2(30) + 60 = 60 + 60 = 120°