Question

In the diagram below, m = 60 and
m = 74. What is the measure of PTS?

Answer 1

B.
`67^(o)`

Explanation:

We have been given image of an circle. We are asked to find the measure of angle PTS.

Upon looking at our given circle, we can see that angle PTS is formed inside circle by intersection of secant PQ and RS, so the measure of angle PTS will be half the sum of arc PS and QR (Intersecting Secants Theorem).

`m\angle PTS=\frac{\widehat{PS}+\widehat{QR}}{2}`

`m\angle PTS=(60^(o)+74^(o))/(2)`

`m\angle PTS=(134^(o))/(2)`

`m\angle PTS=67^(o)`

Therefore, the measure of angle PTS is 67 degrees and option B is the correct choice.