Question

your first option is to build the roof that has the measure of the two combining top angles of 100°. what is the value of x? x = m∠aeb + m∠deb = 100°

Explanation:

Step1: Analyze the relationship between angles

Given \(m\angle AEB + m\angle DEB=100^{\circ}\), and \(m\angle DEB = 66^{\circ}\). Let \(m\angle AEB=x^{\circ}\).

Step2: Set up the equation

We have the equation \(x + 66=100\).

Step3: Solve the equation

Subtract 66 from both sides of the equation: \(x=100 - 66\).
So, \(x = 34\).

Answer:

\(x = 34\)