Question

your first option is to build the roof that has the measure of the two combining top angles of 140°. what is the value of x? x =

Explanation:

Step1: Set up the equation

Given \(m\angle AEB + m\angle DEB=140^{\circ}\), and \(m\angle AEB = 70^{\circ}\), \(m\angle DEB=7x^{\circ}\). So the equation is \(70 + 7x=140\).

Step2: Solve the equation for \(x\)

Subtract \(70\) from both sides of the equation:
\(7x=140 - 70\)
\(7x = 70\)
Divide both sides by \(7\):
\(x=\frac{70}{7}\)

Answer:

\(x = 10\)