Finding Corresponding Angles: Triangle ABC vs Triangle DEF

Question

Look at the two triangles below:

Angle B is equal to angle E.
Angle A is equal to angle D.

Which angle corresponds to angle C?

00:00 Find the angle that corresponds to angle C

00:03 Angles are equal according to the given data

00:06 The triangles are similar according to A.A

00:10 The corresponding angle is the remaining angle (F)

00:13 And this is the solution to the question

As we have two pairs of corresponding angles, we will use the angle-angle theorem for triangle similarity.

Now that we know all angles are equal to each other, we note that the remaining angle that is equal and corresponds to angle C is angle F.

$F$