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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.

Angle GNJ is complementary to Angle JNK.
Angle MNL is complementary to Angle KNL.
Angle MNG is complementary to Angle GNJ.
Angle KNJ is supplementary to Angle MNL.
Angle GNM is supplementary to Angle JNK.

Sagot :

The statements that are true are angle MNL is complementary to angle KNL and angle GNM is supplementary to angle JNK. Option B and E

How to determine the statements

Ray NL creates two angles in the lower right quadrant.

The two angles created form a total of  90°, so the two angles formed are complementary. The relation is given as;

∠MNL + ∠KNL = ∠MNK = 90°

Hence ∠MNL and ∠KNL are complementary

∠GNM and ∠JNK are both right angles (and also vertical angles). They sum up to180°. They can be said to be supplementary.

∠GNM and ∠JNK are supplementary

Thus, the statements that are true are angle MNL is complementary to angle KNL and angle GNM is supplementary to angle JNK

Learn more about supplementary angles here:

https://brainly.com/question/2046046

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