Line JM intersects line GK at point N. Horizontal line G K intersects vertical line J M at point N, forming a right angle. A line extends from point N to L, down and to the right.
Which statements are true about the figure? Select two options.

AngleGNJ is complementary to AngleJNK.
AngleMNL is complementary to AngleKNL.
AngleMNG is complementary to AngleGNJ.
AngleKNJ is supplementary to AngleMNL.
AngleGNM is supplementary to AngleJNK.

  AngleMNL is complementary to AngleKNL.

  AngleGNM is supplementary to AngleJNK

Step-by-step explanation:

Ray NL creates two angles in the lower right quadrant. They total 90°, so the two angles formed are complementary. The relation is ...

  ∠MNL + ∠KNL = ∠MNK = 90°

Hence ∠MNL and ∠KNL are complementary.

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∠GNM and ∠JNK are both right angles (and also vertical angles). Because their sum is 180°, they can be said to be supplementary.

∠GNM and ∠JNK are supplementary.

-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

answer: 800

step-by-step explanation: