Question

lines s and t are parallel. find the value of x.
40°

x = degrees

Explanation:

Step1: Use the property of parallel lines and right - angle

The sum of angles on a straight line formed by the transversal with the parallel lines and the right - angle (\(90^{\circ}\)) and the given \(40^{\circ}\) angle.
We know that \(x + 40+90 = 180\) (since the sum of angles on a straight line is \(180^{\circ}\)).

Step2: Solve for \(x\)

Subtract \(40\) and \(90\) from \(180\)
\(x=180-(40 + 90)\)
\(x=180 - 130\)
\(x = 50\)

Answer:

\(50\)