Question

=ñ
= 80° and m
= 40°, then m
<1 =
VU
ST
60
20
40

Answer 1

Option (2).

Explanation:

In the figure attached,

PB is a tangent and m(arc VU)= 80°, m(arc ST) = 40°

By theorem of angle between intersecting secants,

"If two secants have been drawn to a circle from a point outside the circle, then the angle between the secants will measure the half of the difference of the intercepted arcs."

`(m\angle 1)=(1)/(2)(m\widehat{VU}-m\widehat{ST})`

`=(1)/(2)(80-40)`

= 20°

Therefore, Option (2) will be the answer.