Question

Which of the following statements must be true, given that AABC= AXYZ

and the measure of A. m_Y = 329
B. mZZ = 32
C. m A = 32°
D. m_X = 32

Answer 1

B. m ∠Z = 32°

Explanation:

Given:

Δ ABC ≅ Δ XYZ

m ∠ C = 32°

When 2 triangles are congruent we can say that all side of 1 triangle are equal to corresponding sides of other triangle.

Side AB= Side XY And Side BC = Side YZ and side AC = side XZ

Also,

When 2 triangles are congruent we can say measure of all angles of 1 triangle are equal to measures corresponding angles of other triangle.

m ∠A = m ∠X and m ∠B = m∠Y and m ∠C = m ∠Z

m ∠ C = 32° hence m ∠ Z = 32°