Question

your first option is to build the roof that has the measure of the two combining top angles of 120°. what is the value of x? x =

Explanation:

Step1: Set up the equation

Given \(m\angle AEB + m\angle DEB=120^{\circ}\), and \(m\angle AEB = 2x^{\circ}\), \(m\angle DEB = 60^{\circ}\). So the equation is \(2x+60 = 120\).

Step2: Solve the equation for \(x\)

Subtract \(60\) from both sides of the equation: \(2x+60 - 60=120 - 60\), which simplifies to \(2x = 60\). Then divide both sides by \(2\): \(x=\frac{60}{2}\).

Answer:

\(30\)