Question

tell whether the angles are complementary or supplementary. then find the value of x. supplementary; x = 5 complementary; x = 25 complementary; x = 5 supplementary; x = 25

Explanation:

Step1: Determine the type of angles

Since the angle is a right - angle (90°), the two angles \(65^{\circ}\) and \(5x^{\circ}\) are complementary (sum to 90°).

Step2: Set up the equation

\(65 + 5x=90\)

Step3: Solve for \(x\)

Subtract 65 from both sides: \(5x=90 - 65\), so \(5x = 25\).
Divide both sides by 5: \(x=\frac{25}{5}=5\)

Answer:

Complementary; \(x = 5\) (corresponds to the orange option)