Question

option #8
your first option is to build the roof that has the measure of the two combining top angles of 128°.
what is the value of x?
x =

Explanation:

Step1: Analyze the relationship between angles

Since \(m\angle AEB + m\angle DEB=128^{\circ}\) and \(\angle AEB\) and \(\angle DEB\) are composed of two equal angles \(x^{\circ}\) each.

Step2: Set up the equation

We can write the equation \(x + x=128\).

Step3: Solve the equation

Combining like - terms, we get \(2x = 128\). Then, dividing both sides by 2: \(x=\frac{128}{2}\).

Answer:

\(x = 64\)