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What is the measure of an angle that is supplementary to a 75-degree angle? (201

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Question: What is the measure of an angle that is supplementary to a 75-degree angle? (2019)

Options:

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

Correct Answer: 105 degrees

Exam Year: 2019

Solution: 

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

What is the measure of an angle that is supplementary to a 75-degree angle? (201

Practice Questions

Q1
What is the measure of an angle that is supplementary to a 75-degree angle? (2019)
  1. 105 degrees
  2. 75 degrees
  3. 90 degrees
  4. 45 degrees

Questions & Step-by-Step Solutions

What is the measure of an angle that is supplementary to a 75-degree angle? (2019)
  • Step 1: Understand that supplementary angles are two angles that add up to 180 degrees.
  • Step 2: Identify the given angle, which is 75 degrees.
  • Step 3: Use the formula for supplementary angles: 180 degrees - the given angle.
  • Step 4: Calculate 180 - 75 to find the measure of the supplementary angle.
  • Step 5: Perform the subtraction: 180 - 75 = 105 degrees.
  • Step 6: Conclude that the angle supplementary to a 75-degree angle is 105 degrees.
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