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find the measure of the supplement of an angle whose complement measures 65°
A. 25°
B. 45°
C. 125°
D. 155°​


Sagot :

Answer:

D. 155 yan po ung sagot sana makatulong

Answer:

A. 25

Step-by-step explanation:

What are Complementary Angles?

Complementary angles are pair angles with a sum of 90 degrees. When two angles equal to 90°, they "complement" each other. Complement comes from the Latin completum, meaning "completed" because the right angle is viewed being a perfect angle.

Equation

m∠A + m∠B = 90°

What are Supplementary Angles?

Supplementary angles are two angles whose measures add up to 180 degrees. When the two angles add to 180°, we say they "supplement" each other.  Supplement comes from Latin supplere, meaning to "supply" what is needed.

Equation

m∠A + m∠B = 180°

Solving the Problem

Trial and Error

Trial 1 (Choice B)

  • m∠A + m∠B = 90°
  • 65° + 45° = 110°
  • m∠A + m∠B ≠ 90°

Trial 2 (Choice C)

  • m∠A + m∠B = 90°
  • 65° + 125° = 190°
  • m∠A + m∠B ≠ 90°

Trial 3 (Choice D)

  • m∠A + m∠B = 90°
  • 65° + 155° = 220°
  • m∠A + m∠B ≠ 90°

Trial 4 (Choice A)

  • m∠A + m∠B = 90°
  • 65° + 25° = 90°
  • m∠A + m∠B = 90°

Final Answer

25° is complementary to 65° and is the supplement of an angle. (Choice A)

Additional information:

The angle described as supplementary to the complement of 65° is 155°.

For more information, click the links given below:

What are the meanings of supplementary angle and complementary angle?

https://brainly.ph/question/96268

I hope it helps! Thank you! ❤️