Question

the measures of the angles of a triangle are shown in the figure below. solve for x.

Explanation:

Step1: Recall the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(x + 40+64=180\).

Step2: Solve the equation for \(x\)

First, simplify the left - hand side: \(x+(40 + 64)=x + 104\).
The equation becomes \(x+104 = 180\).
Subtract 104 from both sides: \(x=180 - 104\).

Answer:

\(x = 76\)