Triangle Similarity Proof: Comparing 40° and 60° Angles in Two Triangles

Question

Angle B is equal to 40°

Angle C is equal to 60°

Angle E is equal to 40°

Angle F is equal to 60°

Are the triangles similar?

00:00 Are the triangles similar?

00:03 Angles are equal according to given (A)

00:09 Angles are equal according to given (A2)

00:14 The triangles are similar according to A.A

00:26 And this is the solution to the question

Given that the data shows that there are two pairs with equal angles:

$B=E=40$

$C=F=60$

The triangles are similar according to the angle-angle theorem, therefore triangle ABC is similar to triangle DEF.

Yes