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If a parallelogram has one angle measuring 60 degrees, what are the measures of

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Question: If a parallelogram has one angle measuring 60 degrees, what are the measures of the other three angles?

Options:

  1. 60, 120, 60
  2. 60, 120, 120
  3. 60, 60, 120
  4. 120, 120, 60

Correct Answer: 60, 120, 120

Solution: 

In a parallelogram, opposite angles are equal and adjacent angles are supplementary. Thus, if one angle is 60 degrees, the opposite angle is also 60 degrees, and the adjacent angles are 120 degrees.

If a parallelogram has one angle measuring 60 degrees, what are the measures of

Practice Questions

Q1
If a parallelogram has one angle measuring 60 degrees, what are the measures of the other three angles?
  1. 60, 120, 60
  2. 60, 120, 120
  3. 60, 60, 120
  4. 120, 120, 60

Questions & Step-by-Step Solutions

If a parallelogram has one angle measuring 60 degrees, what are the measures of the other three angles?
  • Step 1: Understand that a parallelogram has opposite angles that are equal.
  • Step 2: If one angle is 60 degrees, then the angle directly opposite it is also 60 degrees.
  • Step 3: Know that adjacent angles in a parallelogram are supplementary, meaning they add up to 180 degrees.
  • Step 4: To find the adjacent angles, subtract 60 degrees from 180 degrees: 180 - 60 = 120 degrees.
  • Step 5: Therefore, the two adjacent angles are both 120 degrees.
  • Properties of Parallelograms – In a parallelogram, opposite angles are equal, and adjacent angles are supplementary (sum to 180 degrees).
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