Question

triangle abc is similar to triangle xyz, such that a, b, and c correspond to x, y, and z respectively. the length of each side of triangle xyz is 8 times the length of its corresponding side in triangle abc. the measure of angle b is 14°. what is the measure of angle y, in degrees?
a 42
b 17
c 14
d 11

Explanation:

Step1: Recall the property of similar triangles

Similar triangles have corresponding angles equal.

Step2: Identify corresponding angles

Since triangle \(ABC\) is similar to triangle \(XYZ\) with \(A,B,C\) corresponding to \(X,Y,Z\) respectively, angle \(B\) corresponds to angle \(Y\).

Answer:

C. 14