Question

What is the measure of RST?

Answer 1

∠TSR = 93°

Explanation:

In the figure attached as we know ∠S =
`(mQR+mPT)/(2)` [ By the theorem of angles of the intersecting secants in a circle]

∠S =
`(131+43)/(2)`

=
`(174)/(2)`

= 87°

Now we have to find the measure of ∠RST

Since ∠QSR + ∠TSR = 180° [ supplementary angles]

87° + ∠TSR = 180°

∠TSR = 180 - 87 = 93°

Therefore, m∠TSR = 93° is the answer.