Question

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

Explanation:

Step1: Recall the triangle angle - sum property

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: \(x+104 = 180\). Then, subtract \(104\) from both sides: \(x=180 - 104\).

Answer:

\(76\)