Triangle Similarity Problem: Comparing Angles of 70° and 35°

Question

Angle B is equal to 70 degrees

Angle C is equal to 35 degrees

Angle E is equal to 70 degrees

Angle F is equal to 35 degrees

Are the triangles similar?

00:00 Are the triangles similar?

00:03 The sum of angles in a triangle equals 180

00:10 Let's substitute appropriate values and solve for angle A

00:17 This is the size of angle A

00:22 Let's use the same method in the second triangle

00:29 Let's substitute appropriate values and solve for angle D

00:36 This is the size of angle D

00:39 All angles are equal between the triangles, therefore they are similar by AA similarity

00:44 And this is the solution to the question

The triangles are similar according to the angle-angle theorem.

Having two pairs of equal angles is sufficient to conclude that the triangles are similar.

Yes