### Video Transcript

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

So, here, we have two congruent
triangles and weβre asked to work out the missing angle, πΆ. Here, we can use the congruency
statement to help us work out which corresponding angles would be congruent. The first angle we can look at
is angle π΄. And this will be congruent to
angle π in triangle πππ. And as weβre told that this
angle π is 40 degrees, this means that angle π΄ in triangle π΄π΅πΆ will also be
40 degrees.

We can also see that angle πΆ
in triangle π΄π΅πΆ is congruent to angle π in triangle πππ. But weβre not given an angle
measure for angle π. So, we canβt use this directly
to help us work out angle πΆ. Instead, we can use the fact
that the angles in a triangle add up to 180 degrees to find the measure of angle
πΆ. Therefore, the measure of angle
πΆ is equal to 180 degrees subtract 56 degrees and subtract 40 degrees, giving
us 84 degrees. And so, our final answer is
that the measure of angle πΆ is 84 degrees.