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