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3 years ago

the measure of an angle plus twice its complement is equal to 145. find the measure of the angle and its complement

Mathematics

1 answer:

Dvinal [7]3 years ago

5 0

Answer: 35° and 55°

Step-by-step explanation:

For complementary angle, their total value equals to 90°.

Let the measure of the angle be y.

Therefore the complement will be:

= 90° - y

The measure of an angle plus twice its complement is equal to 145 can be expressed as:

y + 2(90 - y) = 145

y + 180 - 2y = 145

y = 180 - 145

y = 35°

The angle is 35° and its complement will be:

= 90 - y

= 90 - 35

= 55°

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the measure of an angle plus twice its complement is equal to 145. find the measure of the angle and its complement ​

the measure of an angle plus twice its complement is equal to 145. find the measure of the angle and its complement