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) ${75}^{\circ}$

(a) ${25}^{\circ}$

b) ${35}^{\circ}$

c) ${65}^{\circ}$

d) ${75}^{\circ}$

antipornofsc2

Beginner2023-02-25Added 5 answers

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

$\Rightarrow x=5(90-x)\phantom{\rule{0ex}{0ex}}\Rightarrow x=450-5x\phantom{\rule{0ex}{0ex}}\Rightarrow 6x=450\phantom{\rule{0ex}{0ex}}\therefore x={75}^{\circ}$

Then, the measure of its complement will be 90-x.

According to the question, we have the measure of angle

$\Rightarrow x=5(90-x)\phantom{\rule{0ex}{0ex}}\Rightarrow x=450-5x\phantom{\rule{0ex}{0ex}}\Rightarrow 6x=450\phantom{\rule{0ex}{0ex}}\therefore x={75}^{\circ}$