Question

a parallelogram has one angle that measures 43°. 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 the opposite angle

Since one angle is \(43^\circ\), its opposite angle is also \(43^\circ\) (opposite angles in parallelogram are equal).

Step3: Find the consecutive angles

Let the measure of a consecutive angle be \(x\). Then \(43^\circ + x = 180^\circ\). Solving for \(x\), we get \(x = 180^\circ - 43^\circ = 137^\circ\). The other consecutive angle (opposite to this \(137^\circ\) angle) is also \(137^\circ\).

Answer:

\(43^\circ\), \(137^\circ\), and \(137^\circ\)