Question

5.The university book store sells pennants in two sizes. The pennants are similar right triangles . The small pennants is represented by triangle ABC in the largest pennants is represented by triangle XYZ. If B is 35 what is the Measure of Z?

Answer 1

55 deg

Explanation:

In triangle ABC, angle A is a right angle, so angles B and C are complementary; their measures add to 90 deg.

m<C + m<B = 90

m<C + 35 = 90

m<C = 90 - 35

m<C = 55

Angle Z corresponds to angle C, so angles Z and C are congruent.

m<Z = m<C = 55