Video Transcript
Find the measure of angle π·.
First of all, we should consider what kind of quadrilateral π΄π΅πΆπ· is. We see that line segments π΄π· and line segment π΅πΆ are parallel, so we can write that down. We also see that line segment π·πΆ and line segment π΄π΅ are parallel. Therefore, quadrilateral π΄π΅πΆπ· 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.
