Geometric Angle Problem: Verify 65° and 40° Triangle Relationships

Question

Which of the following are true?

00:00 Choose the correct answer

00:03 The triangles share the same vertex angle (a)

00:15 Equal angles according to given data (a)

00:23 The triangles are similar by A.A

00:37 Equal angles as a result of similar triangles

00:41 And this is the solution to the question

If the sum of the angles in a triangle equals 180, then angle F equals 75 and therefore angle C also equals 75.

The triangles are similar according to the angle-angle theorem

Answer D is correct

Answers (a) and (b) are correct.