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Question
4.) a parallelogram has one angle that measures 14°, what are the measures of the other three angles in the parallelogram? °, °, and °
Step1: Use opposite angles property
In a parallelogram, opposite angles are equal. So one other angle is $14^\circ$.
Step2: Find adjacent angle measure
Adjacent angles in a parallelogram are supplementary (sum to $180^\circ$).
$180^\circ - 14^\circ = 166^\circ$
Step3: Use opposite angles property again
The angle opposite the $166^\circ$ angle is also $166^\circ$.
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$14^\circ$, $166^\circ$, and $166^\circ$