Question

which angles are supplementary?
∠pko and ∠mkn
∠mkn and ∠okn
∠lkm and ∠mkn
∠pko and ∠pkl

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles are two angles whose sum is \(180^{\circ}\).

Step2: Analyze each option

• For \(\angle PKO\) and \(\angle MKN\): There is no indication that their sum is \(180^{\circ}\).
• For \(\angle MKN\) and \(\angle OKN\): There is no indication that their sum is \(180^{\circ}\).
• For \(\angle LKM\) and \(\angle MKN\): Since \(\angle LKP = 90^{\circ}\) (right - angle) and \(\angle PKN=90^{\circ}\), \(\angle LKM+\angle MKN=\angle LKN = 180^{\circ}\) (a straight - line angle).
• For \(\angle PKO\) and \(\angle PKL\): There is no indication that their sum is \(180^{\circ}\).

Answer:

\(\angle LKM\) and \(\angle MKN\)