Question

If the complement of an angle is one-sixth of its
supplement, find the angle.​

Answer 1

Step-by-step explanation:

Let the angle be x°.

Its complement is 90°-x°

Supplement is 180°-x°

Given 90°-x° = (1/6)(180°-x°)

6(90°-x°) = 180°-x°

540° - 6x° = 180° - x°

540° - 180° = 6x° - x°

360° = 5x°

x°= 72°

Hence the complement angle = 90° - x° = 18°

Answer 2

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