Question

which angles are supplementary angles? ∠nmk and ∠nmp ∠nmk and ∠lmp ∠nmk and ∠opr ∠nmk and ∠qpm

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180 degrees. Adjacent angles that form a straight - line are supplementary. Also, non - adjacent angles can be supplementary in some geometric setups.

Step2: Analyze each option

• For ∠NMK and ∠NMP: They share a common side and form a linear pair (a straight - line at point M), so ∠NMK+∠NMP = 180°.
• For ∠NMK and ∠LMP: ∠NMK and ∠LMP are vertical angles, and vertical angles are equal, not supplementary.
• For ∠NMK and ∠OPR: There is no geometric relationship that would make their sum 180°.
• For ∠NMK and ∠QPM: There is no geometric relationship that would make their sum 180°.

Answer:

∠NMK and ∠NMP