Question

A circle with center P is shown. RS and ST are tangent to Circle P. What Is the degree measure of angle RST

Answer 1

`\angle RST =110`

Step-by-step explanation:

Given

`\angle RPT = 70`

See attachment

Required

Find
`\angle RST`

To do this, we make use of the following theorem

`\angle RST + \angle RPT = 180` --- angle at the center and angle between two tangents add up to 180 (i.e. they are supplementary angles)

So, we have:

`\angle RST + 70 = 180`

Collect like terms

`\angle RST =- 70 + 180`

`\angle RST =110`