Question

what does x equal? *
x = 10 degrees
x = 90 degrees
x = 80 degrees
x = 108 degrees

Explanation:

Step1: Use the property of parallel lines and transversal

When two parallel lines are cut by a transversal, the sum of the interior angles on the same side of the transversal is \(180^{\circ}\). So, \(3x+(8x + 70)=180\).

Step2: Simplify the equation

Combine like - terms: \(3x+8x+70 = 180\), which gives \(11x+70 = 180\).

Step3: Solve for \(x\)

Subtract \(70\) from both sides: \(11x=180 - 70\), so \(11x = 110\). Then divide both sides by \(11\): \(x=\frac{110}{11}=10\).

Answer:

\(x = 10\) degrees