∠KLM

Question

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

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

Given:

• m∠KLM = (x + 30)°
• m∠MLP = (2x + 60)°

We can set up the equation:

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

Now, simplify the left side:

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

Combine like terms:

\[ 3x + 90 = 180 \]

This leads us to the simplified equation:

\[ 3x + 90 = 180 \]

Thus, in the format you provided:

\[ x° + 90° = 180° \]

So, the correct answer is \(3x + 90 = 180\).