Answer:
k = 16°
Explanation:
For the sake of simplicity, the top angle of the triangle is x and the bottom is y.
The purple 82° is alternate to x, therefore they are equal.
The triangle has 2 equal sides and is isosceles, with x and y being the base angles, so x = y.
x = 82°, so y also = 82°.
Angles in a triangle add up to 180°, so k = 180 - 82 - 82 = 16°