Answer:
24°
Step-by-step explanation:
You want the measure of arc TN, given that chords SN and RT cross at Q to form angle SQR = 65°, with arc SR being 106°.
Crossing chords
The angle where chords cross is half the sum of the intercepted arcs:
∠SQR = (SR +TN)/2
65 = (106 +TN)/2 . . . . . . use given numbers
130 = 106 +TN . . . . . . multiply by 2
24 = TN . . . . . . . . . subtract 106
The measure of arc TN is 24°.
