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QUESTION IMAGE

solve for x. (5x - 3)° n k j m o 62° l i x = submit

Question

solve for x.
(5x - 3)° n k j m o 62° l i
x =
submit

Explanation:

Step1: Identify parallel lines and corresponding angles

Lines \(JK\) and \(LM\) are parallel, and \(HI\) is a transversal. So, \((5x - 3)^\circ\) and \(62^\circ\) are corresponding angles, hence they are equal.
\[5x - 3 = 62\]

Step2: Solve for \(x\)

Add 3 to both sides:
\[5x = 62 + 3\]
\[5x = 65\]
Divide both sides by 5:
\[x = \frac{65}{5}\]
\[x = 13\]

Answer:

\(13\)