Question

find the measure of \\( \angle j p n \\).
\\( m \angle j p n = \\) \\( \circ \\)

Explanation:

Step1: Use the property of corresponding angles

Since \(KL\parallel MN\), \((105 - x)^{\circ}\) and \((2x + 84)^{\circ}\) are corresponding angles. So \(105−x = 2x + 84\).

Step2: Solve the equation for \(x\)

Add \(x\) to both sides: \(105=3x + 84\).
Subtract \(84\) from both sides: \(3x=105 - 84=21\).
Divide both sides by \(3\): \(x = 7\).

Step3: Find the measure of \(\angle JPN\)

Substitute \(x = 7\) into \(2x + 84\).
\(2x+84=2\times7 + 84=14 + 84 = 98\).

Answer:

\(98\)