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Question -

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



Answer -

Let required angle = x°
Then its complement angle = 90° – x°
∴ x – (90° – x) = 10
⇒  x – 90° + x = 10°⇒  2x = 10° + 90° = 100° 100°
⇒ x == 50°
∴ Required angle = 50°

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