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

To write an equation for the supplementary angles ∠KLM and ∠MLP, you can set the sum of their measures equal to 180°.

Given:
- m∠KLM = (x + 30)°
- m∠MLP = (2x + 60)°

The equation representing that these angles are supplementary is:

\[
(x + 30) + (2x + 60) = 180
\]

Now, simplifying this equation:

\[
x + 30 + 2x + 60 = 180
\]

Combining like terms:

\[
3x + 90 = 180
\]

This is the simplified equation for the unknown angle measures.