laminarskq2p

2023-02-24

The measure of an angle is five times its complement. The angle measures
(a) ${25}^{\circ }$
b) ${35}^{\circ }$
c) ${65}^{\circ }$
d) ${75}^{\circ }$

antipornofsc2

Let the measure of the required angle be x.
Then, the measure of its complement will be 90-x.
According to the question, we have the measure of angle
$⇒x=5\left(90-x\right)\phantom{\rule{0ex}{0ex}}⇒x=450-5x\phantom{\rule{0ex}{0ex}}⇒6x=450\phantom{\rule{0ex}{0ex}}\therefore x={75}^{\circ }$

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