Question

The complement of an angle is one-fourth the measure of the supplement of the angle. What is the measure of the angle to the nearest whole degree?
A) 60°
B) 62°
C) 64°
D) 66°

Answer 1

Answer:

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#Here's ur answer...☆☆☆

Step-by-step explanation:

$\huge{ \boxed{ \bigstar{ \mathcal{ \pink{answer...}}}}}$

$\bold{ \green{let \: the \: angle \: be \: \: x}} \\ supplement \: of \: the \: angle =( 180 - x )\\ complement \: of \: the \: angle = (90 - x) \\ \\ \bold{given...90 - x = \frac{180 - x}{4} } \\ = > 4(90 - x) = 180 - x \\ = > 360 - 4x = 180 - x \\ = > 180 = 3x \\ \red{ \bold{ = > x = 60}} (\blue{answer...})$

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Answer 2

Answer:

option A) 60°

let x be the angle which is to be found.

given:

$90 - x = \frac{1}{4}(180-x)$

$4(90-x) = 180-x$.

360 - 4 x = 180 - x

3 x = 180

x = 60°

so, option A)  60° is correct

Hope it helps !