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Mathematics

If x° and (x + 30)° are complements of each other, find the value of x.

Lines & Angles

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Answer

Complementary angles sum = 90°

∴ x° + (x + 30)° = 90°

⇒ 2x° + 30° = 90°

⇒ 2x° = 90° - 30°

⇒ 2x° = 60°

⇒ x° = 60∘2\dfrac{60^{\circ}}{2}

⇒ x° = 30°

Hence, the value of x is 30°.

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