Answer: <NKM = 26 <NOM = 52
Explanation:
Given:
<NJM = 26
<NJM and <NKM both start at the end of the circle and extend to the same arc angle. So the angles are the same:
<NJM = <NKM
<NKM = 26
<NJM starts at the end of the circle the arc angle NM is twice <NJM
arcNM = 2 <NJM
arcNM = 2(26)
arcNM = 52
arcNM is the same as <NOM because <NOM starts at center
<NOM = 52