Question

AB=AC
please help with this problem ​

Answer 1

30°

Explanation:

∠CKB = 180 - 110 = 70°

∠KBC = 180° - ∠CKB - ∠KCB

∠KBC = 180° - 70° - 40°

∠KBC = 70° = ∠ABC

given AB = AC (isosceles triangle)

hence ∠ACB = ∠ABC = 70° (base angles of an isosceles triangle)

therefore,

∠ACK = ∠ACB - ∠KCB

∠ACK = 70 - 40 = 30°