Question

the measures of the angles of a triangle are shown in the figure below. solve for x. answer attempt 2 out of 2

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step2: Set up the equation

In a right - angled triangle (one angle is \(90^{\circ}\)), we have \(x + 90+33=180\).

Step3: Solve the equation for \(x\)

Simplify the left - hand side: \(x+123 = 180\).
Subtract \(123\) from both sides: \(x=180 - 123\).

Answer:

\(x = 57\)