Question

15 POINTS!!!!! PLEASE ANSWER AS SOON AS POSSIBLE

Given: AB = AC
AH = AK
m∠BAK = m∠CAH
Prove: m∠K = m∠H
△BAH≅△_____  

by reason_______

Answer 1

In △BAH and △CAK

AB = AC (Given congruent sides of triangle)

m∠BAK = m∠CAH ( Given congruent angles)

AH = AK (Given congruent sides of triangle)

Therefore, triangle △BAH congruent to triangle △CAK.

△BAH ≅ △CAK by (Side Angle Sngle or SAS triangle congruency postulate).

Therefore, m∠K = m∠H (Congurent parts of the congruent triangles are congruent).