Question #af17e

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Question #af17e

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Answer 1 · 2017-10-01T18:06:24

$45^{\circ}$ $45^@$

Explanation:

Let's call that angle $θ$ $theta$ .

Complimentary angles are when 2 angles sum up to $90^{\circ}$ $90^@$ .
$= θ + complimentary angle = 90^{\circ}$ $=theta+"complimentary angle"= 90^@$
$= complimentary Angle = 90 - θ$ $="complimentary Angle" = 90-theta$

Supplementary angles are when 2 angles sum up to $180^{\circ}$ $180^@$
$= θ + supplementary angle = 180^{\circ}$ $=theta+"supplementary angle"= 180^@$
$= supplementary Angle = 180 - θ$ $="supplementary Angle" = 180-theta$

According to the que,

$180 - θ = 3 (90 - θ)$ $180-theta=3(90-theta)$
$180 - θ = 270 - 3 θ$ $180-theta=270-3theta$
$- θ + 3 θ = 270 - 180$ $-theta+3theta=270-180$
$2 θ = 90$ $2theta=90$
$θ = \frac{90}{2} = 45^{\circ}$ $theta= 90/2=45^@$

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Question #af17e

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