Question

Find the measure of an angle which is 46° less than its complement
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Answer 1

Answer:

22°

Step-by-step explanation:

let the angle be x.

complement of x = 90° - x

A/Q,

90° - x - x = 46°

90° - 2x = 46°

-2x = 46° - 90°

-2x = -44°

x = 22°

so, the angle = 22°

Answer 2

Answer

Let the smaller angle be x

∴ x + x + 46° = 90°

⇒ 2x + 46° = 90°

⇒ 2x = 90° - 46°

⇒ 2x = 44°

⇒ x = 44 ÷ 2

⇒ x = 22°

∴ The smaller angle is 22° and the measure of the larger angle is 68°

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