Question

What is the measure of arc RS?

Answer 1

B

Explanation:

The secant- secant angle RPS is half the difference of the intercepted arcs, that is

40 =
`(1)/(2)` (QT - RS) =
`(1)/(2)` (140 - x) ← multiply both sides by 2 to clear the fraction

80 = 140 - x ( subtract 140 from both sides )

- 60 = - x ( multiply both sides by - 1 )

60 = x

That is arc PS = 60°