Question

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

Answer 1

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
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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 = 29°

Then, Angle P = 2(29°) + 3° = 61°. Hence, the two complementary angles are 29° and 61°.

Answer 2

• 29° and 61°

Explanation:

Complementary angles sum up to 90°

Given

• P + M = 90°
• P = 2M + 3°

Substituting P in the first equation

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

Then

• P = 90° - 29° = 61°