Question

Assuming the following two triangles are congruent, solve for x if QR =
3x + 16 and GH = 5x - 22.

Answer 1

I think you meant the two segments are identical, if so then:

$3x + 16 = 5x - 22 \\ - 2x = - 38 \\ x = 19$

Answer 2

x=19

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

Given, ΔPQR≅ΔFGH

QR=3x+16

GH=5x-22

Two triangles are congruent

So, 3x+16=5x-22

5x-3x=22+16

2x=38

x=19

Learn more about congruent triangles

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