Question

your first option is to build the roof that has the measure of the two combining top angles of 113°. what is the value of x? x =

Explanation:

Step1: Use the given angle sum equation

We know that \(m\angle AEB + m\angle DEB=113^{\circ}\), and \(m\angle AEB = 40^{\circ}\).

Step2: Solve for \(x\) (which is \(m\angle DEB\))

Substitute \(m\angle AEB = 40^{\circ}\) into the equation \(m\angle AEB + x=113^{\circ}\). Then \(x=113^{\circ}- 40^{\circ}\).

$$x = 73^{\circ}$$

Answer:

\(x = 73\)