Question

If ZBLYA, find m ZAZY.
A. 28°
B. 46°
C. 56°
D. 62°

Answer 1

∠AXY = 56°

Explanation:

ΔYBZ is congruent to ΔABZ by the SAS postulate

∠AZB = ∠YZB because corresponding parts of congruent triangles are congruent.

Then:

5x + 3 = 2x + 18

combine like terms:

3x = 15

x = 5

∠AXY = 5(5) + 3 + 2(5) + 18 = 28 + 28 = 56°