Question

current skill
find the measure of angle 2.

Explanation:

Step1: Use the property of same - side interior angles

Since the two lines are parallel, \(8x + 63\) and \(2x+97\) are same - side interior angles. So, \((8x + 63)+(2x + 97)=180\).

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Step2: Find the measure of \(\angle4\)

Substitute \(x = 2\) into \(2x + 97\), \(\angle4=2x+97=2\times2 + 97=101\)

Step3: Use the property of vertical angles

Since \(\angle2\) and \(\angle4\) are vertical angles, \(\angle2=\angle4\)

Answer:

\(101^{\circ}\)