Question

Using the polygon below, find the value of x and find the measure of Angle W. Enter the answer as a number.

Answer 1

X = 14.6, Angle W = 28.8 degrees

Explanation:

We know that all of the angles of a trapezoid add up to 360 degrees.

So 10x + 3x - 5 + 6x + 6x = 360

This simplifies to 25x - 5 = 350

Now we have to add 5 to each side.

25x - 5 + 5 = 360 + 5

25x = 365

Now we have to divide each side by 25.

X = 14.6

Substitute X in 3x - 15 to 14.6

3 (14.6) - 15 = Angle W

43.8 - 15 = Angle W

28.8 degrees = Angle W