we know that
Complementary angles are two angles whose sum is equal to °, while supplementary angles are two angles whose sum is equal to
°.
So
Statements
case 1) GNJ is complementary to JNK
Is False
Angle GNJ is degrees and angle JNK is
degrees. The sum of the angles GNJ and JNK is
degrees. Therefore, GNJ is not complemetary to JNK.
GNJ is supplementary to JNK, not complementary
case 2) MNL is complementary to KNL
Is True
The sum of angles MNL and KNL is MNK which is degrees. Therefore, MNL is complementary to GNJ.
MNL is complementary to KNL
case 3) MNG is complementary to GNJ
Is False
Angle MNG is degrees and angle GNJ is
degrees. The sum of the angles MNG and GNJ is
degrees. Therefore, MNG is not complemetary to GNJ.
MNG is supplementary to GNJ, not complementary
case 4) KNJ is supplementary to MNL
Is False
Angle KNJ is degrees and angle MNL is less than
degrees. The sum of the angles KNJ and MNL is less than
degrees. Therefore, KNJ is not supplementary to MNL
case 5) GNM is supplementary to JNK
Is True
Angle GNM is degrees and angle JNK is
degrees. The sum of the angles GNM and JNK is
degrees. Therefore, GNM is supplementary to JNK.
GNM is supplementary to JNK
therefore
the answer is
MNL is complementary to KNL
GNM is supplementary to JNK