Question

a parallelogram has one angle that measures 84°. what are the measures of the other three angles in the parallelogram?
□°, □°, and □°
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Explanation:

Step1: Recall properties of parallelogram

In a parallelogram, opposite angles are equal, and consecutive angles are supplementary (sum to \(180^\circ\)).

Step2: Find opposite angle

One angle is \(84^\circ\), so its opposite angle is also \(84^\circ\).

Step3: Find consecutive angles

Let the consecutive angle be \(x\). Then \(84^\circ + x = 180^\circ\), so \(x = 180^\circ - 84^\circ = 96^\circ\). The other consecutive angle (opposite to this \(96^\circ\) angle) is also \(96^\circ\).

Answer:

\(84\), \(96\), and \(96\)