The complement of an angle exceeds the angle by 60°. Find the angle.

Introduction / Context:A complement is defined as 90° minus the angle. If the complement is 60° larger than the angle itself, set up and solve a linear equation.

Given Data / Assumptions:

• Let the angle be x°.
• Complement = 90° − x.
• Given: (90° − x) = x + 60°.

Concept / Approach:Rearrange to isolate x and compute the measure directly.

Step-by-Step Solution:

Verification / Alternative check:Complement = 75°; 75° exceeds 15° by 60°, satisfying the condition.

Why Other Options Are Wrong:25°, 30°, 35° fail the relation (90 − x) − x = 60.

Common Pitfalls:Confusing complement with supplement; sign mistakes moving terms across the equality.

Final Answer:15°