Question

What is the measure of RST in the diagram below?

Answer 1

`m\angle RST=41^o`

Explanation:

The picture of the question in the attached figure

we know that

The measure of the external angle is the semi-difference of the arcs it covers.

so

`m\angle RST=(1)/(2)[arc\ RT-arc\ UV]`

substitute the given values

`m\angle RST=(1)/(2)[107^o-25^o]`

`m\angle RST=(1)/(2)[82^o]`

`m\angle RST=41^o`