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Two complementary angles are such that two times the measure of one is equal to three times the measure of the other. The measure of the larger angle is:
  • a)
    60°
  • b)
    45°
  • c)
    54°
  • d)
    36°
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Two complementary angles are such that two times the measure of one is...
Let the measure of one angle be x. Then the measure of the other angle is 90-x.

According to the given information, 2x = 3(90-x).

Simplifying this equation, we get 2x = 270 - 3x.

Adding 3x to both sides, we get 5x = 270.

Dividing both sides by 5, we get x = 54.

Therefore, the measure of the larger angle is 90 - 54 = 36 degrees.

So, the answer is: b) 36.
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Community Answer
Two complementary angles are such that two times the measure of one is...
Let the measure of angle be x.
∴ Its complement = (90° - x)
∴  2x = 3(90° - x)
⇒  5x = 3 × 90°
⇒ x = 54°
and  (90° - x ) = 36°
∴ Measure of larger angle = 54°
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Two complementary angles are such that two times the measure of one is equal to three times the measure of the other. The measure of the larger angle is:a)60°b)45°c)54°d)36°Correct answer is option 'C'. Can you explain this answer?
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