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If a parallelogram has one angle measuring 70 degrees, what are the measures of

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Question: If a parallelogram has one angle measuring 70 degrees, what are the measures of the other three angles?

Options:

  1. 70, 110, 70
  2. 70, 70, 110
  3. 110, 70, 110
  4. 110, 110, 70

Correct Answer: 70, 70, 110

Solution: 

In a parallelogram, opposite angles are equal and consecutive angles are supplementary. Therefore, if one angle is 70 degrees, the opposite angle is also 70 degrees, and the other two angles are 110 degrees each.

If a parallelogram has one angle measuring 70 degrees, what are the measures of

Practice Questions

Q1
If a parallelogram has one angle measuring 70 degrees, what are the measures of the other three angles?
  1. 70, 110, 70
  2. 70, 70, 110
  3. 110, 70, 110
  4. 110, 110, 70

Questions & Step-by-Step Solutions

If a parallelogram has one angle measuring 70 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 70 degrees, then the angle directly opposite it is also 70 degrees.
  • Step 3: Know that consecutive angles in a parallelogram are supplementary, meaning they add up to 180 degrees.
  • Step 4: To find the other two angles, subtract 70 degrees from 180 degrees: 180 - 70 = 110 degrees.
  • Step 5: Therefore, the two remaining angles are both 110 degrees.
  • Properties of Parallelograms – In a parallelogram, opposite angles are equal, and consecutive angles are supplementary (sum to 180 degrees).
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