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If two angles are complementary, what is the maximum measure of either angle?

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Question: If two angles are complementary, what is the maximum measure of either angle?

Options:

  1. 90 degrees
  2. 45 degrees
  3. 60 degrees
  4. 30 degrees

Correct Answer: 90 degrees

Solution: 

Complementary angles sum to 90 degrees, so the maximum measure of either angle can be 90 degrees.

If two angles are complementary, what is the maximum measure of either angle?

Practice Questions

Q1
If two angles are complementary, what is the maximum measure of either angle?
  1. 90 degrees
  2. 45 degrees
  3. 60 degrees
  4. 30 degrees

Questions & Step-by-Step Solutions

If two angles are complementary, what is the maximum measure of either angle?
  • Step 1: Understand what complementary angles are. Complementary angles are two angles that add up to 90 degrees.
  • Step 2: Since the two angles must add up to 90 degrees, if one angle is at its maximum, the other angle must be at its minimum.
  • Step 3: The minimum measure for an angle is 0 degrees. If one angle is 0 degrees, the other angle would be 90 degrees.
  • Step 4: Therefore, the maximum measure of either angle can be 90 degrees.
  • Complementary Angles – Two angles are complementary if their measures add up to 90 degrees.
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