Question Video: Finding the Measure of an Unknown Angle Using the Properties of Parallelograms | Nagwa Question Video: Finding the Measure of an Unknown Angle Using the Properties of Parallelograms | Nagwa

# Question Video: Finding the Measure of an Unknown Angle Using the Properties of Parallelograms Mathematics

Find πβ π·.

00:57

### Video Transcript

Find the measure of angle π·.

First of all, we should consider what kind of quadrilateral π΄π΅πΆπ· is. We see that line segments π΄π· and line segment π΅πΆ are parallel, so we can write that down. We also see that line segment π·πΆ and line segment π΄π΅ are parallel. Therefore, quadrilateral π΄π΅πΆπ· is a parallelogram.

And one property of parallelograms is that opposite angles are equal. In this quadrilateral, that means the measure of angle π· will be equal to the measure of angle π΅, and the measure of angle π΅ is 103 degrees.

By confirming that this shape is a parallelogram, we were able to see that the opposite angles are equal. And therefore, the measure of angle π· is 103 degrees.

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