Question

current skill $ 7 4x + 182 8 6 3 1 4 -6x - 38 find the measure of angle 1.

Explanation:

Step1: Use the property of same - side interior angles

Since the two lines are parallel, \(4x + 182+(-6x - 38)=180\) (same - side interior angles are supplementary).

$$\begin{align*} 4x+182-6x - 38&=180\\ -2x+144&=180\\ -2x&=180 - 144\\ -2x&=36\\ x&=- 18 \end{align*}$$

Step2: Find the measure of angle \(1\)

Substitute \(x =-18\) into \(-6x - 38\).
\(-6\times(-18)-38=108 - 38=70\)

Answer:

\(70^{\circ}\)