Question

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

Answer 1

Option (2)

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

=
`(1)/(2)[(360-m\widehat{AB})-m(\widehat{AB})]`

=
`(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.