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 triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, we add the three angles: \(62^\circ + 36^\circ + (5x - 8)^\circ = 180^\circ\).

Step2: Simplify the left side

First, calculate \(62 + 36 - 8\): \(62 + 36 = 98\), \(98 - 8 = 90\). So the equation becomes \(90 + 5x = 180\).

Step3: Solve for x

Subtract 90 from both sides: \(5x = 180 - 90 = 90\). Then divide by 5: \(x = \frac{90}{5} = 18\).

Answer:

\(x = 18\)