Question

What is the measure of angle c in degrees? *
150
30
90
60

Answer 1

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 = $\frac{1}{2}[m(\text{major arc AB})-m(\text{minor arc AB)}]$

        = $\frac{1}{2}[(360-m\widehat{AB})-m(\widehat{AB})]$

        = $\frac{1}{2}[360-2m(\widehat{AB})]$

        = $180-m\widehat{AB}$

        = 180 - 150

        = 30°

Therefore, measure of angle C will be 30°.

Option (2) is the answer.