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option #6 your first option is to build the roof that has the measure o…

Question

option #6
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

Since \(m\angle AEB + m\angle DEB=120^{\circ}\) and \(m\angle AEB = x^{\circ}\), \(m\angle DEB=x^{\circ}\), we have the equation \(x + x=120\).

Step2: Solve the equation

Combine like - terms: \(2x = 120\). Then divide both sides by 2: \(x=\frac{120}{2}\).

Answer:

\(x = 60\)