Question

the two labeled angles are complementary angles. that means that their measures sum to 90°. use the relationship you determined to write an equation to help you solve for x.

Explanation:

Step1: Recall complementary angles

Complementary angles sum to \(90^\circ\). The two angles are \(2x^\circ\) and \((4x - 30)^\circ\).

Step2: Write the equation

Add the two angles and set equal to \(90^\circ\): \(2x+(4x - 30)=90\)

Answer:

\(2x + (4x - 30) = 90\)