A parallelogram has one angle that measures 146°. What are the measures of the other three angles in the parallelogram?

Question

A parallelogram has one angle that measures 146°. What are the measures of the other three angles in the parallelogram?
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Solution 1

In a parallelogram, opposite angles are equal and adjacent angles are supplementary.

Step 1: Since one angle is 146°, the angle opposite to it is also 146°.

Step 2: The sum of adjacent angles in a parallelogram is 180°. So, if one angle is 146°, the angle next to it would be 180° - 146° = 34°.

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