Question

answer attempt 1 out of 2
$x=$

Explanation:

Step1: Use the triangle angle - sum property

The sum of angles in a triangle is \(180^{\circ}\). In a right - angled triangle (one angle is \(90^{\circ}\)), we have the equation \(33+(5x - 13)+90=180\).

Step2: Simplify the left - hand side of the equation

First, combine like terms: \((33 - 13+90)+5x=180\).
\(110 + 5x=180\).

Step3: Solve for \(x\)

Subtract \(110\) from both sides: \(5x=180 - 110\).
\(5x=70\).
Divide both sides by \(5\): \(x=\frac{70}{5}\).

Answer:

\(x = 14\)