Question

question image. a triangle with angles 70°, 60°, and 8x+2. q. solve for x.

Explanation:

Step1: Recall triangle angle sum

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

Step2: Simplify the left side

First, add \(70\) and \(60\): \(70 + 60 = 130\). Then the equation becomes \(130 + 8x + 2 = 180\), which simplifies to \(8x + 132 = 180\).

Step3: Solve for x

Subtract \(132\) from both sides: \(8x = 180 - 132 = 48\). Then divide by \(8\): \(x = \frac{48}{8} = 6\).

Answer:

\(x = 6\)