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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°

E)68°

Nov 29, 2018

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$$(90^\circ - \theta) = \dfrac 1 4 (180^\circ-\theta)\\ 45^\circ = \dfrac 3 4 \theta \\ \theta = 60^\circ$$

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Nov 29, 2018

$$(90^\circ - \theta) = \dfrac 1 4 (180^\circ-\theta)\\ 45^\circ = \dfrac 3 4 \theta \\ \theta = 60^\circ$$