Question

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.

Answer 1

Choices B and E

Explanation:

because that's what heroes do

(answer on edge2020)

Answer 2

AngleMNL is complementary to AngleKNL.

AngleGNM is supplementary to AngleJNK

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.