Find the measure of an angle which is 36∘ more than its complement.

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67°

27°

63°

65°

answer is C.

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Detailed Solution

Let x be the one angle.
So, the complement of x = 90°− x.
Given, an angle is 36° more than its complement.
⇒ x = (90°− x) + 36°
⇒ x = 90°− x + 36°
⇒ x + x=126°
⇒ 2x=126°
⇒ x=

1262

⇒ x = 63°
Hence, Option (1) is the correct answer.

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