Question

1. if gh = 7x + 18 and jk = 81, find x.

Explanation:

Step1: Identify congruent sides

From the diagram, triangles \( GHI \) and \( JKL \) have corresponding congruent sides (marked with equal tick marks), so \( GH = JK \).

Step2: Set up the equation

Since \( GH = 7x + 18 \) and \( JK = 81 \), we set \( 7x + 18 = 81 \).

Step3: Solve for \( x \)

Subtract 18 from both sides: \( 7x = 81 - 18 = 63 \).
Divide both sides by 7: \( x = \frac{63}{7} = 9 \).

Answer:

\( x = 9 \)