Angle P and angle Q are complementary, and angle Q and angle R are supplementary.
If angle R is 5 times angle P, find angle P.

Question

Angle P and angle Q are complementary, and angle Q and angle R are supplementary. If angle R is 5 times angle P, find angle P.

Accepted Answer

22.5. Q = 90° − P (complementary). R = 180° − Q = 180° − (90° − P) = 90° + P. Given R = 5P: 90° + P = 5P, so 4P = 90°, P = 22.5°.

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