Question

use the image below. solve for x. (1 point)

Explanation:

Step1: Use the property of same - side interior angles

Same - side interior angles are supplementary, so \((3x - 7)+(x + 5)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(3x+x-7 + 5=180\), which gives \(4x-2 = 180\).

Step3: Solve for \(x\)

Add \(2\) to both sides: \(4x=180 + 2=182\). Then divide both sides by \(4\): \(x=\frac{182}{4}=45.5\).

Answer:

\(x = 45.5\)