Question

If m vb = 60 and m bs =30 then m 3 =. 30 45 15

Answer 1

Option (3)

Explanation:

PB is a tangent and PV, PU are the secants drawn to the circle.

`m(\widehat {VB})` = 60° and
`m(\widehat{BS})` = 30°

By theorem of tangent and secants,

"When a tangent and secant are drawn from a point outside the circle, then the measure of the angle formed is one half the difference of intercepted arcs."

m∠BPV =
`(1)/(2)[m(\widehat{BV}-m(\widehat{BS})]`

m∠3 =
`(1)/(2)[60-30]`

m∠3 = 15°

Therefore, Option (3) will be the answer.