In triangle ABC, angle C is 65 °, AB = CB. AH is the height of the triangle. Find BAH.

Consider a triangle ABC. AB = BC – this means that the triangle is isosceles. Angle C at the base of an isosceles triangle. And if the sides are equal, then the angles at the base are equal. Angle B will also be 65 degrees.

Now consider the triangle AHB. AH is the leg of this triangle and the height of AH in triangle ABC. Hence, the triangle is rectangular. And we can find the corner of BAН.

180 – 90 – 65 = 25 degrees

Answer: the BAН angle is 25 degrees.