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

Question

Ernest Green

Mathematics

16 April, 06:45

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

+3

Answers (1)

Know the Answer?

Keagan · Answer 1

Answer: x = 10, y = - 1

Step-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