Question

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7 5
8 6 3 6x - 7
-5x + 180 2
find the measure of angle 6.
5 game credits

Explanation:

Step1: Use the property of alternate interior angles

Since the two lines are parallel, \(-5x + 180=6x - 7\) (alternate interior angles are equal).

$$\begin{align*} -5x+180&=6x - 7\\ 180 + 7&=6x+5x\\ 187&=11x\\ x& = 17 \end{align*}$$

Step2: Find the measure of \(\angle3\)

Substitute \(x = 17\) into \(6x-7\), \(\angle3=6\times17-7=102 - 7=95^{\circ}\)

Step3: Use the property of corresponding angles

\(\angle6\) and \(\angle3\) are corresponding angles. So \(\angle6=\angle3\)

Answer:

\(95^{\circ}\)