Question

find the measure of \\( \angle g j k \\).
\\( m \angle g j k= \\) submit work it out

Explanation:

Step1: Use the property of alternate interior angles

Since \(FG\parallel HI\), \(\angle GJK\) and \((3x + 63)^{\circ}\) are supplementary. So \(2x+92+3x + 63=180\).
Combine like terms: \(5x+155 = 180\).
Subtract \(155\) from both sides: \(5x=180 - 155\), \(5x = 25\).
Divide both sides by \(5\): \(x = 5\).

Step2: Calculate the measure of \(\angle GJK\)

Substitute \(x = 5\) into \(2x+92\).
\(2\times5+92=10 + 92=102\).

Answer:

\(102\)