Question

solve for x.
63°
-7°
-140

Explanation:

Step1: Use the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \((x + 59)+84+(x + 51)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \((x+x)+(59 + 84+51)=180\), which is \(2x+194 = 180\).

Step3: Solve for \(x\)

Subtract \(194\) from both sides: \(2x=180 - 194=-14\). Then divide both sides by \(2\): \(x=\frac{-14}{2}=-7\).

Answer:

\(-7^{\circ}\)