Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of (6n − 70)° and (2n + 10)°.What are the two different angle measures of the parallelogram-shaped tile?

Opposite angles in a parallelogram are equal, so set 6n − 70 equal to 2n + 10. Solving gives 4n = 80, or n = 20, and each of those opposite angles measures 50°. Adjacent angles are supplementary, so the other angle measure is 180° − 50° = 130°. The two different angle measures are 50° and 130°.

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