Answer:
152°
Step-by-step explanation:
Angles B and A of the isosceles triangle have the same measures, so we have ...
∠B = ∠A
(x -14)° = (x/2)°
2x -28 = x . . . . . . divide by °, multiply by 2
x = 28 . . . . . . . . . .add 28-x to both sides
Then the base angles, A and B, both have measure (x/2)° = 14°.
The third angle, C, will bring the total to 180°.
∠A + ∠B + ∠C = 180°
∠C = 180° - 2(14°)
∠C = 152°
