Question

If triangle ABC is similar to triangle ZXY, measure of angle A = 50, and measure of angle C = 30,

what is measure of angle X?
1) 30
2) 50
3) 80
4) 100

Answer 1

4) 100

Explanation:

If ABC is similar to ZXY,

Angle A=Z, B=X, and C=Y.

Since A=50 and C=30, we know that Z=50, and Y=30.

Using the fact that all triangle angles add up to 180 degrees,

we get 180-50-30= 4) 100