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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?

5The 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 class=

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mathstudent55

Answer:

55 deg

Step-by-step 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

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