Question

answer attempt 1 out of 5

Explanation:

Step1: Use the triangle angle - sum property

The sum of angles in a triangle is \(180^{\circ}\). In a right - triangle (one angle is \(90^{\circ}\)), if the angles are \(12^{\circ}\), \((2x + 6)^{\circ}\), and \(90^{\circ}\), then \(12+(2x + 6)+90=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(12+6 + 90+2x=180\), so \(108+2x=180\).

Step3: Solve for \(x\)

Subtract \(108\) from both sides: \(2x=180 - 108\), \(2x=72\). Then divide both sides by \(2\): \(x = 36\).

Answer:

\(36\)