Question

Assuming the following two triangles are congruent, solve for x if QR = 3x + 16 and GH = 5x - 22.Two trianglesA)12B)-3C)19D)76

Answer 1

Explanation:

Concept:

To calculate the value of x, we will use the relation below

$\begin{gathered} QR=GH \\ QR=3x+16 \\ GH=5x-22 \end{gathered}$

Bu\y substituing the values, we will have

$\begin{gathered} QR=GH \\ 5x-22=3x+16 \\ collect\text{ similar terms, we will have} \\ 5x-3x=16+22 \\ 2x=38 \\ \frac{2x}{2}=\frac{38}{2} \\ x=19 \end{gathered}$

Hence,

The final answer is

$19$

OPTION C is the correct answer