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3 years ago

A parallelogram has one angle that measures 40°. What are the measures of the other three angles in the parallelogram?

Mathematics

1 answer:

Agata [3.3K]3 years ago

5 0

Answer:

40°, 140°, and 140°

Step-by-step explanation:

A parallelogram has 2 pairs of angles with equal measure.

If one angle is 40°, the angle opposite to that must also be 40°

A parallelogram has an internal angle sum of 360°.

2 angles we know add up to 80°, subtract that from 360° and you can find the other 2 angles..

360° - 80° = 280°

The other 2 angles add up to 280°, so

280°/2 = 140°

The other 2 angles are each 140°

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