Question

In the figure to the right, the isosceles ΔABC with a base AC and measure of ∠B equal to 36° has angle bisector AD drawn through it. Prove that triangles ∆CDA and ∆ADB are isosceles. Also, prove that m∠BAC = m∠___ by reason (pick either 1 or 2)

1) Base Angles Theorem
2) Base Angles Theorem Converse

Answer 1

See below;

Explanation:

See explanation in picture;