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

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

Options:

  1. 60°, 120°, 60°, 120°
  2. 60°, 60°, 60°, 60°
  3. 120°, 60°, 120°, 60°
  4. 90°, 90°, 90°, 90°

Correct Answer: 60°, 120°, 60°, 120°

Solution: 

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

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

Practice Questions

Q1
If a parallelogram has one angle measuring 60°, what are the measures of the other three angles?
  1. 60°, 120°, 60°, 120°
  2. 60°, 60°, 60°, 60°
  3. 120°, 60°, 120°, 60°
  4. 90°, 90°, 90°, 90°

Questions & Step-by-Step Solutions

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