Angle P is 3 more than twice angle M. If the two angles are complementary, find the measure of the two angles.
2 answers:
GiveN:
- Angle P is 3 more than twice angle M.
- The two angles are complementary.
To FinD:
- Measure of the two angles.
Step-wise-Step Explanation:
Complementary angles are angles that add upto 90°. They need not to be adjacent Always
According to question, Angle P = 2(Angle M) + 3°. And they add upto 90°.
⇒ Angle P + Angle M = 90°
⇒ 2(Angle M) + 3° + Angle M = 90°
⇒ 3 Angle M + 3° = 90°
⇒ 3 Angle M = 87°
⇒ Angle M = <u>29°</u>
Then, Angle P = 2(29°) + 3° = <u>61°</u>. Hence, the two complementary angles are 29° and 61°.
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