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°.

Step 3: The angle opposite to the 34° angle is also 34°.

So, the measures of the other three angles in the parallelogram are 146°, 34°, and 34°.

Question

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°.

Step 3: The angle opposite to the 34° angle is also 34°.

So, the measures of the other three angles in the parallelogram are 146°, 34°, and 34°.

Knowee AI · Accepted Answer

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°.

Step 3: The angle opposite to the 34° angle is also 34°.

So, the measures of the other three angles in the parallelogram are 146°, 34°, and 34°.

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