S1. Solve for the value of x.

x = 98°

Step-by-step 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°

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