Question

solve for x, the missing angle in the triangle below.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, \(47 + x+x=180\).

Step2: Combine like - terms

We get \(47 + 2x=180\).

Step3: Isolate the variable term

Subtract 47 from both sides: \(2x=180 - 47\), so \(2x = 133\).

Step4: Solve for x

Divide both sides by 2: \(x=\frac{133}{2}=66.5\).

Answer:

\(x = 66.5^{\circ}\)