Question

given that the top and bottom sides are parallel, find the value of x. then find the measure of each labeled angle. x = □° (x - 46)°

Explanation:

Answer:

Since the top and bottom sides are parallel, the two given angles are supplementary. So \(x+(x - 46)=180\).
Combining like - terms gives \(2x-46 = 180\).
Adding 46 to both sides: \(2x=180 + 46=226\).
Dividing both sides by 2: \(x = 113\)

So the value of \(x\) is \(113\)