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Anon25 [30]
3 years ago
10

Angle P is 3 more than twice angle M. If the two angles are complementary, find the measure of the two angles.

Mathematics
2 answers:
Tcecarenko [31]3 years ago
7 0

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°.

kotegsom [21]3 years ago
5 0

Answer:

  • 29° and 61°

Step-by-step explanation:

<em>Complementary angles sum up to 90°</em>

<u>Given</u>

  • P + M = 90°
  • P = 2M + 3°

<u>Substituting P in the first equation</u>

  • 2M + 3° + M = 90°
  • 3M = 87°
  • M = 29°

<u>Then </u>

  • P = 90° - 29° = 61°
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