Question

choose an action to perform.

complete the statements about the relationship between the two labeled angles.

given: the labeled angles form a right angle.

the two labeled angles are complementary angles.

x = 12.5

enter the measure of the angle.
degrees

Explanation:

Step1: Use the property of complementary angles

Complementary angles sum to \(90^{\circ}\). If one angle is \(65^{\circ}\) and the other is \(2x\), then \(65 + 2x=90\).

Step2: Solve the equation for \(x\)

Subtract \(65\) from both sides: \(2x=90 - 65\), so \(2x = 25\). Then divide both sides by \(2\): \(x=\frac{25}{2}=12.5\).

Step3: Find the measure of the \(2x\) angle

Substitute \(x = 12.5\) into \(2x\). So \(2\times12.5=25\).

Answer:

\(25\)