Question

solve for x.

Explanation:

Step1: Recall triangle - angle sum property

The sum of the interior angles of a triangle is 180°. So, in triangle ABC, we have the equation \(28^{\circ}+(5x + 33^{\circ})+24^{\circ}=180^{\circ}\).

Step2: Combine like - terms

First, add the constant terms on the left - hand side: \(28 + 33+24=85\). The equation becomes \(5x+85^{\circ}=180^{\circ}\).

Step3: Isolate the variable term

Subtract 85° from both sides of the equation: \(5x=180^{\circ}-85^{\circ}\), so \(5x = 95^{\circ}\).

Step4: Solve for x

Divide both sides of the equation by 5: \(x=\frac{95^{\circ}}{5}=19^{\circ}\).

Answer:

\(x = 19\)