Segment AK-the height of the isosceles triangle ABC, drawn to the base of the BC. Find the angles BAK

Segment AK-the height of the isosceles triangle ABC, drawn to the base of the BC. Find the angles BAK and BKA if the angle BAC = 46 degrees.

BAK angle = BAC angle = 46 degrees. Since the triangle is isosceles, the angle BAC = angle of the BCA = 46 degrees. Since the sum of the angles in any triangle is 180 degrees, the angle ABC = 180 – 46 – 46 = 88 degrees. Since the height in an isosceles triangle is a bisector, then ABK = CBK = 88/2 = 44 degrees. Now we find the angle ВКА = 180 – 44 – 46 = 90 degrees.