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

Answer:

$\angle RST =110$

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

$\angle RST =- 70 + 180$

$\angle RST =110$