### Video Transcript

Given that πππΎπ is
congruent to π΄π΅πΆπ, find the measure of angle πΎππΆ.

In this question, we have two
congruent quadrilaterals, π΄π΅πΆπ on the left side of the diagram and πππΎπ
on the right. Weβre asked to find the measure
of angle πΎππΆ, which is outside of these quadrilaterals. If we knew the measure of this
angle, πΆππ΄, we could calculate the missing angle. We can use the congruency
statement to help us work out this angle. We could see, for example, that
angle π in the quadrilateral πππΎπ would be congruent with angle π΄ in the
quadrilateral π΄π΅πΆπ. So, therefore, the angle π in
quadrilateral π΄π΅πΆπ is congruent to the angle π in quadrilateral
πππΎπ.

So, therefore, the missing
angle πΆππ΄ in quadrilateral π΄π΅πΆπ would be 53 degrees. We can use the fact that the
angles on a straight line add up to 180 degrees to work out that our angle
πΎππΆ is equal to 180 degrees subtract 53 degrees subtract 53 degrees. And, therefore, the measure of
angle πΎππΆ is 74 degrees.