Question

A ABC XYZ, mZA= 5n+ 34, and mZX=-2+14n.

Find m2A and mZX
04
O 54
O 108
O 36
K

Answer 1

∠ A = ∠ X = 54°

Explanation:

given Δ ABC ≅ Δ XYZ , then corresponding angles are congruent , that is

∠ A ≅ ∠ X

5n + 34 = - 2 + 14n ( subtract 14n from both sides )

- 9n + 34 = - 2 ( subtract 34 from both sides )

- 9n = - 36 ( divide both sides by - 9 )

n = 4

then

∠ A = 5n + 34 = 5(4) + 34 = 20 + 34 = 54°

∠ X = - 2 + 14n = - 2 + 14(4) = - 2 + 56 = 54°