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

Since angles ∠KLM and ∠MLP are supplementary, their measures add up to 180°. Given the measures \( m∠KLM = (x + 30)° \) and \( m∠MLP = (2x + 60)° \), we can set up the equation:

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

Now, simplify the equation:

1. Combine like terms:
\[
x + 2x + 30 + 60 = 180
\]
\[
3x + 90 = 180
\]

So, the equation in simplest terms is:

\[
3x + 90 = 180
\]