Question

geometry 4.1 ticket

1. find the value of x. show work.

Explanation:

Step1: Use the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). For a right - triangle (one angle is \(90^{\circ}\)), we have the equation \(x + 2x+90=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(3x + 90=180\).

Step3: Isolate the variable \(x\)

Subtract \(90\) from both sides: \(3x=180 - 90\), so \(3x=90\).

Step4: Solve for \(x\)

Divide both sides by \(3\): \(x=\frac{90}{3}\).

Answer:

\(x = 30\)