Question

current skill show answer -4x + 134 3 2 8x - 70 5 7 6 8 find the measure of angle 6.

Explanation:

Step1: Use the property of vertical angles

Vertical angles are equal. Also, when two lines are parallel, consecutive interior angles are supplementary. Here, \(-4x + 134\) and \(8x-70\) are consecutive interior angles. So, \((-4x + 134)+(8x - 70)=180\).

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Step2: Find the measure of \(8x - 70\)

Substitute \(x = 29\) into \(8x-70\).

$$8\times29-70=232 - 70=162$$

Step3: Use the property of adjacent angles

Since angle \(6\) and \(8x - 70\) are adjacent angles forming a linear - pair (sum to \(180^{\circ}\)), but wait, no. Wait, actually, angle \(6\) and \(8x - 70\) are not linear - pair. Wait, we made a mistake above. Wait, \(-4x + 134\) and \(8x-70\) are consecutive interior angles (sum to \(180\)). After finding \(x = 29\), \(8x-70=8\times29 - 70=232-70 = 162\). Angle \(6\) and \(8x - 70\) are vertical angles. Vertical angles are equal.

Answer:

\(162^{\circ}\)