Two complementary angles have the following measures: m ∠ LMN = 5x° and m ∠ XYZ = 50° .

Question

Select the correct equation that will solve for x .

(1 point)
Responses

5x ⋅ 50 = 905x ⋅ 50 = 90

5x = 505x = 50

5x − 50 = 905x − 50 = 90

5x + 50 = 90

Answer 1

Complementary angles are two angles whose measures add up to 90 degrees. Given the measures of the angles:

\( m ∠ LMN = 5x° \)
\( m ∠ XYZ = 50° \)

We can set up the equation:

\( 5x + 50 = 90 \)

So the correct equation to solve for \( x \) is:

5x + 50 = 90