Question

1. solve for x.

Explanation:

Step1: Use the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \((71 + x)+70 + 50=180\).

Step2: Simplify the left - hand side of the equation

\(71+x + 70+50=(71 + 70+50)+x=191+x\). The equation becomes \(191 + x=180\).

Step3: Solve for \(x\)

Subtract \(191\) from both sides of the equation: \(x=180 - 191\).

Answer:

\(x=-11\)