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 - 54)° x°

Explanation:

Step1: Use property of parallel - sided figure

Since the top and bottom sides are parallel, the sum of adjacent angles is 180°. So, $(x - 54)+x=180$.

Step2: Combine like - terms

Combining the x - terms, we get $2x-54 = 180$.

Step3: Add 54 to both sides

$2x=180 + 54$, so $2x=234$.

Step4: Divide by 2

$x=\frac{234}{2}=117$.

Answer:

$x = 117$