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One angle of a parallelogram measures 15º. What are the measures of the other three angles in

the parallelogram?

User Chamnap
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1 Answer

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Final answer:

In a parallelogram, if one angle measures 15º, then the opposite angle also measures 15º. The remaining two angles in the parallelogram will each measure 165º.

Step-by-step explanation:

In a parallelogram, opposite angles are congruent, which means they have the same measure.

Since one angle measures 15º, the opposite angle will also measure 15º. Th

erefore, there are two angles in the parallelogram that measure 15º each.

The sum of the measures of the interior angles of a parallelogram is 360º. So, the sum of the two congruent angles is 30º.

To find the measure of the remaining two angles, subtract 30º from 360º. Each of the remaining two angles will measure 165º.

User Sherika
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