Question

the measures of the angles of a triangle are shown in the figure below. solve for x. answer attempt 1 out of 3 x =

Explanation:

Step1: Use the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(65^{\circ}+(5x + 14)^{\circ}+36^{\circ}=180^{\circ}\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \((65 + 14+36)+5x=180\).
\(115 + 5x=180\).

Step3: Solve for \(x\)

Subtract \(115\) from both sides: \(5x=180 - 115\).
\(5x=65\).
Divide both sides by \(5\): \(x=\frac{65}{5}\).

Answer:

\(x = 13\)