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In a parallelogram, if one angle measures 70 degrees, what are the measures of t

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Question: In a parallelogram, if one angle measures 70 degrees, what are the measures of the other three angles?

Options:

  1. 70, 110, 70 degrees
  2. 70, 70, 110 degrees
  3. 110, 70, 110 degrees
  4. 90, 90, 90 degrees

Correct Answer: 70, 70, 110 degrees

Solution: 

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

In a parallelogram, if one angle measures 70 degrees, what are the measures of t

Practice Questions

Q1
In a parallelogram, if one angle measures 70 degrees, what are the measures of the other three angles?
  1. 70, 110, 70 degrees
  2. 70, 70, 110 degrees
  3. 110, 70, 110 degrees
  4. 90, 90, 90 degrees

Questions & Step-by-Step Solutions

In a parallelogram, if one angle measures 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, the angle directly opposite to it is also 70 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 70 degrees from 180 degrees: 180 - 70 = 110 degrees.
  • Step 5: Since there are two adjacent angles, both of these angles measure 110 degrees.
  • Properties of Parallelograms – In a parallelogram, opposite angles are equal, and adjacent angles are supplementary (sum to 180 degrees).
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