Question

line jm intersects line gk at point n. which statements are true about the figure? select two options. ∠gnj is complementary to ∠jnk. ∠mnl is complementary to ∠knl. ∠mng is complementary to ∠gnj. ∠knj is supplementary to ∠mnl. ∠gnm is supplementary to ∠jnk.

Explanation:

• Complementary angles sum to 90°, supplementary to 180°.
• ∠GNJ is right (90°), so ∠GNJ + ∠JNK = 90° (complementary).
• ∠MNL + ∠KNL = ∠MNK = 90° (complementary).
• ∠MNG is straight (180°), so not complementary to ∠GNJ (90°).
• ∠KNJ + ∠MNL ≠ 180°.
• ∠GNM is straight (180°), so not supplementary to ∠JNK (<90°).

Answer:

∠GNJ is complementary to ∠JNK, ∠MNL is complementary to ∠KNL