Question

What type of triangle is triangle ABC?
Give your reasons for your answer:

Answer 1

a. Isosceles

b. It has two equal angles

Explanation:

✅<DCA = <BAC = 50° (alternate interior angles are congruent)

<ACB = 180 - (<BAC + <ABC) (sum of triangle)

<ACB = 180° - (50° + 80°) (substitution)

<ACB = 50°

✅∆ABC is an isosceles triangle judging from the measure of its three angles. ∆ABC has two equal angles. ∆ABC is therefore an isosceles ∆.