Question

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, we know that the sum of their measures is 180°. Given:

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

We can write the equation for supplementary angles as:

\[ m∠KLM + m∠MLP = 180° \]

Substituting the expressions for the angles, we get:

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

Now, we can combine like terms:

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

This simplifies to:

\[ 3x + 90 = 180 \]

To write the equation in the requested form:

\[ 3x + 90 = 180 \]

Thus, the final equation is:

\[ 3x + 90 = 180 \]