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

B. m ∠Z = 32°

Step-by-step 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°

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)