Answer:
Option (2)
Step-by-step explanation:
Measure of angle formed by two tangents from a point outside the circleis half the difference of the measures of the intercepted arcs.
From the figure attached,
m∠C = [tex]\frac{1}{2}[m(\text{major arc AB})-m(\text{minor arc AB)}][/tex]
= [tex]\frac{1}{2}[(360-m\widehat{AB})-m(\widehat{AB})][/tex]
= [tex]\frac{1}{2}[360-2m(\widehat{AB})][/tex]
= [tex]180-m\widehat{AB}[/tex]
= 180 - 150
= 30°
Therefore, measure of angle C will be 30°.
Option (2) is the answer.
