Question

solve for x. your answer

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, we set up the equation \(40 + 60+(39x + 2)=180\).

Step2: Simplify the left - hand side of the equation

First, combine the constant terms: \(40+60 + 2=102\). The equation becomes \(102+39x=180\).

Step3: Isolate the variable term

Subtract 102 from both sides of the equation: \(39x=180 - 102\), so \(39x=78\).

Step4: Solve for x

Divide both sides of the equation by 39: \(x=\frac{78}{39}\), and \(x = 2\).

Answer:

\(x = 2\)