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If two angles are supplementary and one angle measures 75 degrees, what is the m

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Question: If two angles are supplementary and one angle measures 75 degrees, what is the measure of the other angle?

Options:

  1. 85 degrees
  2. 90 degrees
  3. 95 degrees
  4. 105 degrees

Correct Answer: 105 degrees

Solution: 

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

If two angles are supplementary and one angle measures 75 degrees, what is the m

Practice Questions

Q1
If two angles are supplementary and one angle measures 75 degrees, what is the measure of the other angle?
  1. 85 degrees
  2. 90 degrees
  3. 95 degrees
  4. 105 degrees

Questions & Step-by-Step Solutions

If two angles are supplementary and one angle measures 75 degrees, what is the measure of the other angle?
  • Step 1: Understand that supplementary angles add up to 180 degrees.
  • Step 2: Identify the measure of the first angle, which is 75 degrees.
  • Step 3: Use the formula for supplementary angles: Other angle = 180 degrees - First angle.
  • Step 4: Substitute the value of the first angle into the formula: Other angle = 180 - 75.
  • Step 5: Calculate the result: 180 - 75 = 105 degrees.
  • Step 6: Conclude that the measure of the other angle is 105 degrees.
  • Supplementary Angles – Supplementary angles are two angles whose measures add up to 180 degrees.
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