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

Option (3)

Step-by-step explanation:

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

= 60° and = 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 =

    m∠3 =

    m∠3 = 15°

Therefore, Option (3) will be the answer.

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh

what is the rest of the question? ?