Answer:
x = 98°
Explanation:
The triangle on the left is isosceles, thus the base angles are congruent.
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
82° is an exterior angle of the triangle
let y be the base angles, then
y + y = 82
2y = 82
y = 41°
The triangle on the right is isosceles, thus the base angles are congruent.
The left vertex = 41° ( vertical to y ), then
x = 180° - (41 + 41)° = 180° - 82° = 98°