Answer:
C. 50 deg
Step-by-step explanation:
m(arc)BDC = 260 deg
Since a full circle has an arc measure of 360 deg, we can find the measure of arc BC.
m(arc)BC = 360 deg - 260 deg = 100 deg
Angle 1 is formed by a tangent to the circle and a chord of the circle and has a vertex on the circle. Its measure is half the measure of the intercepted arc.
m<1 = (1/2)m(arc)BC = (1/2) * 100 deg = 50 deg
Answer: C. 50 deg
