2 years ago

Find the measure of an angle whose complement is five times its measure.

Mathematics

1 answer:

ch4aika [34]2 years ago

4 0

Answer:

The measure of the unknown angle is 15°.

Step-by-step explanation:

Represent this angle by A. Then the complement of A is 90° - A.

"Angle whose complement is five times its measure" would be expressed as

90° - A = 5A

Solve this for A by adding A to both sides:

90° = 6A. Then A = 90°/6, or 15°

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