Question

There exists a similarity transformation that maps Triangle ABC to triangle A′B′C′. The measure of ∠A is 68°, and the measure of ∠B is 46°. What is the measure of ∠C' in degrees?

Answer 1

For any triangle, the angles add to 180 degrees

A+B+C = 180
68+46+C = 180
114+C = 180
C+114 = 180
C+114-114 = 180-114
C = 66

Angle C is 66 degrees
Angle C' is 66 degrees

The triangles ABC and A'B'C' are similar, so angle C = angle C'