Question

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

Answer 1

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°