Question

in a triangle, the angles are 40°, 96°, and 2x°. options: x = 22, x = 20, x = 24, x = 18

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. So, \(40^{\circ}+96^{\circ}+2x^{\circ}=180^{\circ}\).

Step2: Simplify the left - hand side

Combine like terms: \(136 + 2x=180\).

Step3: Solve for x

Subtract 136 from both sides: \(2x=180 - 136\), so \(2x = 44\). Then divide both sides by 2: \(x=\frac{44}{2}=22\).

Answer:

\(x = 22\)