Question

solve for x. 8x + 2 70° 60°

Explanation:

Step1: Use the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \((8x + 2)+70 + 60=180\).

Step2: Simplify the left - hand side of the equation

First, combine the constant terms: \(8x+2 + 130=180\), which simplifies to \(8x+132 = 180\).

Step3: Isolate the term with \(x\)

Subtract \(132\) from both sides: \(8x=180 - 132\). So, \(8x=48\).

Step4: Solve for \(x\)

Divide both sides by \(8\): \(x=\frac{48}{8}\).

Answer:

\(x = 6\)