Question

your first option is to build the roof that has the measure of the two combining top angles of 102°. what is the value of x? x =

Explanation:

Step1: Set up the equation

Since \(m\angle AEB + m\angle DEB=102^{\circ}\) and \(m\angle AEB = x^{\circ}\), \(m\angle DEB=x^{\circ}\), we have the equation \(x + x=102\).

Step2: Solve the equation

Combine like - terms: \(2x = 102\).
Divide both sides by 2: \(x=\frac{102}{2}\).

Answer:

\(51\)