Question

ABC is a triangle. ACD is an isosceles triangle. Find ACB and ABC.

Answer 1

∠ ACB = 128° and ∠ABC = 32°

Explanation:

∠ ADC = ∠ CAD (base angles theorem)

∠ ACD = 82° (angles in a triangle add to 180°)

∠ ACB = 128° (angles around a point add to 360°)

∠ ABC = 32° (angles in a triangle add to 180°)