Find the value of x and y and each labeled
angle.

The required values are ~

From the given figure, we can infer that ~

(by linear pair)

now, let's solve for x ~

And, we can see that 2x = y (by alternate interior angle pair)

So, let's find the value of y ~

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)

(a) the volume of the cone is 20/3 in3

hence, option a is correct.