Find the measures of angles x, y, and z in the figure

As y and 74 degrees are alternate interior angles, they must be equal to each other.

Thus, y = 74 degrees.

So here, since z and y make up a straight line, and lines have angle measurements of 180 degrees, z + y = 180

And since we know y = 74,

74 + z = 180

z = 106

For x, since they are corresponding angles, they must equal each other, so x = 106 degrees.

So,

x = 106 degrees

y = 74 degrees

z = 106 degrees

i dony know

step-by-step explanation:

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3