What’s the measure for angle C?

  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°