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A parallelogram has one angle that measures 166.5°. What are the measures of the other three angles in the parallelogram?

Respuesta :

Answer:

166.5, 13.5, 13.5

Step-by-step explanation:

A parallelogram that has one angle that measures 166.5°. The other three angles are 166.5°, 13.5°, and 13.5°.

What is a parallelogram?

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

We have been given a parallelogram that has one angle that measures 166.5°.

we know that the opposite angle of the parallelogram is the same.

So, the second angle is also 166.5°.

Now, one of the properties of parallelogram states that the adjacent angles are supplementary.

166.5° + x = 180

x = 180 - 166.5°

x = 13.5°

similarly, the opposite angle of the parallelogram is the same.

So, the fourth angle is also 13.5°.

Learn more about parallelogram ;

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