Using the polygon below, find the value of x and find the measure of angle w. enter the answer as a number.

X = 14.6, Angle W = 28.8 degrees

Step-by-step 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

56

step-by-step explanation:

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,