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, we have the equation \(42 + x+x=180\).

Step2: Simplify the equation

Combining like - terms, we get \(42 + 2x=180\).

Step3: Isolate the variable term

Subtract 42 from both sides of the equation: \(2x=180 - 42\), so \(2x = 138\).

Step4: Solve for x

Divide both sides by 2: \(x=\frac{138}{2}=69\).

Answer:

\(x = 69\)