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

Supplementary angles are two angles that add up to 180 degrees. Given that:

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

We can set up the equation:

\[
m∠KLM + m∠MLP = 180°
\]

Substituting the expressions for the angle measures:

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

Combining like terms:

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

This simplifies to:

\[
3x + 90 = 180
\]

So, the equation you can use to solve for the unknown angle measures in simplest terms is:

\[
3x + 90 = 180
\]