### Video Transcript

Given that triangle π΄π΅πΆ is
congruent to triangle πππ, find the measure of angle π΅.

Because weβre told that these two
triangles are congruent, that means that they will have pairs of corresponding
angles congruent. What we need to do here is to work
out exactly which angles are congruent. Sometimes, it can be very easy to
tell from a diagram and other times not quite so easy. But we can use the order of the
letters to help us.

As weβre told that triangle π΄π΅πΆ
is congruent to triangle πππ, that means that the angle at π΄ is corresponding
with the angle at π. So, both the angle at π΄ and the
angle at π will be 54 degrees. In the same way, this angle π΅ in
triangle π΄π΅πΆ is corresponding to the angle π in triangle πππ. And both of these will be 52
degrees. As we were asked to find the
measure of angle π΅, then our answer would be that this is 52 degrees.

For completeness, we can note that
the angle at πΆ would be corresponding to the angle at π. And these would both be 74
degrees. But as weβre asked for π΅, thatβs
52 degrees.