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can you show that this quadrilateral is a parallelogram? 66° 114° 66° y…

Question

can you show that this quadrilateral is a parallelogram? 66° 114° 66° yes no

Explanation:

Step1: Recall the property of parallelogram

In a parallelogram, opposite angles are equal.

Step2: Check the angles

Here, we have two angles of \(66^{\circ}\) which are opposite to each other and two angles of \(114^{\circ}\) (since \(66 + 114=180\), and the sum of adjacent angles in a parallelogram is \(180^{\circ}\)). The opposite angles \(66^{\circ}\) are equal.

Answer:

yes