Question
If an angle differs from its complement by 10°, find the angle.

Answer

Let the measure of the angle be x°.$\therefore$ its complement will be (90 - x)°.
It is given that x° - (90 - x)° = 10° ⇒ x - 90 + x = 10 ⇒ 2x = 100 ⇒ x = 50$\therefore$ The measure of the angle will be 50°.

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