Question

what is the value of x in the picture below?
x = type your answer...

Explanation:

Step1: Use the property of corresponding angles

Since the two lines are parallel, \(5x + 55^{\circ}=2x + 100^{\circ}\) (corresponding angles are equal).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides: \(5x-2x + 55^{\circ}=2x-2x + 100^{\circ}\), which simplifies to \(3x+55^{\circ}=100^{\circ}\).
Then subtract \(55^{\circ}\) from both sides: \(3x+55^{\circ}-55^{\circ}=100^{\circ}-55^{\circ}\), so \(3x = 45^{\circ}\).
Divide both sides by \(3\): \(x=\frac{45^{\circ}}{3}\).

Answer:

\(15\)