As we can see, the triangle has two congruent sides, meaning that it is an isosceles triangle. Therefore, the angles opposite the congruent sides must also be congruent.
By the Triangle Angle Sum Theorem, the sum of the measures of all interior angles in a triangle must add up to 180^(∘).
x + x + 82^(∘) = 180^(∘)
Let's solve this equation.
Like in Part A, the triangle has two congruent sides, making it isosceles. This means that the angles opposite the congruent sides must also be congruent.
By the Triangle Angle Sum Theorem, the sum of the measures of all interior angles in a triangle must add up to 180^(∘).
x + 71^(∘) + 71^(∘) = 180^(∘)
Let's solve this equation.