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If angle A and angle B are supplementary, and angle A measures 75 degrees, what

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Question: If angle A and angle B are supplementary, and angle A measures 75 degrees, what is the measure of angle B?

Options:

  1. 105 degrees
  2. 75 degrees
  3. 45 degrees
  4. 90 degrees

Correct Answer: 105 degrees

Solution: 

Supplementary angles sum to 180 degrees. Therefore, angle B = 180 - 75 = 105 degrees.

If angle A and angle B are supplementary, and angle A measures 75 degrees, what

Practice Questions

Q1
If angle A and angle B are supplementary, and angle A measures 75 degrees, what is the measure of angle B?
  1. 105 degrees
  2. 75 degrees
  3. 45 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

If angle A and angle B are supplementary, and angle A measures 75 degrees, what is the measure of angle B?
  • Step 1: Understand that supplementary angles are two angles that add up to 180 degrees.
  • Step 2: Identify the measure of angle A, which is given as 75 degrees.
  • Step 3: Use the formula for supplementary angles: angle A + angle B = 180 degrees.
  • Step 4: Substitute the value of angle A into the equation: 75 + angle B = 180.
  • Step 5: To find angle B, subtract 75 from 180: angle B = 180 - 75.
  • Step 6: Calculate the result: angle B = 105 degrees.
  • Supplementary Angles – Supplementary angles are two angles whose measures add up to 180 degrees.
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