A parallelogram has one angle that measures 90°. What are the measures of the other three angles in the parallelogram?
Question
Solution
In a parallelogram, opposite angles are equal and adjacent angles are supplementary.
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Since one angle is 90°, the angle opposite to it will also be 90°. This is because in a parallelogram, opposite angles are equal.
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The adjacent angles to the 90° angle will be supplementary to it. This means they will add up to 180°. So, if one angle is 90°, the angle next to it will be 180° - 90° = 90°.
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Therefore, all the angles in the parallelogram will be 90°.
So, the measures of the other three angles in the parallelogram are 90°, 90°, and 90°.
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