In parallelogram efgh, the measure of angle g is (4x + 16)" and the measure of angle h is (2x - 16)'. what is the measure of angle h?
32 degrees
44 degrees
88 degrees
136 degress

Option B (44 degrees).

Step-by-step explanation:

In a parallelogram, there are two pairs of equal and parallel lines. Therefore, by the properties of the parallel lines, the opposite angles are also equal. The sum of angles of a parallelogram is 360 degrees. It is given that one angle is (4x + 16) degrees and the other angle is (2x - 16) degrees. Since opposite angles are same, therefore:

4x + 16 + 2x - 16 + 4x + 16 + 2x - 16 = 360

Simplifying gives:

12x = 360.

x = 30.

Since H = (2x-16) degrees, substituting x = 30 degrees in H gives:

H = 2(30) - 16 = 60 - 16 = 44 degrees.

Therefore, Option B is the correct choice!!!

-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