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nikitadnepr [17]
3 years ago
7

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

Mathematics
1 answer:
ch4aika [34]3 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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