A parallelogram has one angle that measures 96°. What are the measures of the other three angles in the parallelogram?
Question
A parallelogram has one angle that measures 96°. What are the measures of the other three angles in the parallelogram?
Solution
In a parallelogram, opposite angles are equal and adjacent angles are supplementary.
Step 1: Since one angle is 96°, the angle opposite to it is also 96°.
Step 2: The adjacent angles are supplementary to 96°. Supplementary angles add up to 180°.
Step 3: To find the measure of the adjacent angles, subtract 96° from 180°.
180° - 96° = 84°
So, the other three angles in the parallelogram are 96°, 84°, and 84°.
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