Q:

Triangle ABC and triangle PQR are given. Triangle ABC is congruent to triangle PQR by SAS. If angle ABC = 12x+2, angle PQR = 142-2x, AB = 5y+7, and PQ = 3y-1, then which of the following statements are true? Select all that apply

Accepted Solution

A:
Answer:   x = 10, y = -1Step-by-step explanation:ΔABC ≅ ΔPQR  →  ∠B ≅ ∠Q    and     AB ≅ PQ       ∠B ≅ ∠Q 12x + 2 = 142 - 2x+2x                + 2x 14x + 2 = 142        - 2     -2   14x       = 140÷14         ÷14       x       =  10    AB ≅ PQ 3y - 1 = 5y + 1-3y      -3y             -1 = 2y + 1      -1         -1      -2 = 2y      ÷2   ÷2       -1 = y