∠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°
To find the equation to solve for the unknown angle measures, we will use the fact that supplementary angles add up to 180 degrees:
∠KLM + ∠MLP = 180°
(x+30)° + (2x+60)° = 180°
Simplify the equation:
x + 30 + 2x + 60 = 180
3x + 90 = 180
Subtract 90 from both sides:
3x = 90
Divide by 3:
x = 30
Therefore, the equation to solve for the unknown angle measures in simplest terms is:
x° + 30° = 180°