Question

the measures of the angles of a triangle are shown in the figure below. solve for x. answer attempt 1 out of 2

Explanation:

Step1: Recall the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(x + 60+77=180\).

Step2: Solve the equation for \(x\)

First, simplify the left - hand side of the equation: \(x+(60 + 77)=x + 137\). Then, we have the equation \(x+137 = 180\). Subtract 137 from both sides: \(x=180 - 137\).

Answer:

\(43\)