Question

midterm cumulative test
find the value of x in the following diagram.

Explanation:

Step1: Set up an equation based on angle - sum property.

The sum of the angles on a straight - line is 180°. So, \(2x + 90^{\circ}+x=180^{\circ}\).

Step2: Combine like terms.

Combining the \(x\) terms, we get \(3x + 90^{\circ}=180^{\circ}\).

Step3: Solve for \(x\).

Subtract 90° from both sides: \(3x=180^{\circ}-90^{\circ}\), so \(3x = 90^{\circ}\). Then divide both sides by 3: \(x=\frac{90^{\circ}}{3}=30^{\circ}\).

Answer:

\(30\)