Question

What is the measure of RST in the diagram below?

Answer 1

Answer:

$m\angle RST=41^o$

Step-by-step 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

$m\angle RST=\frac{1}{2}[arc\ RT-arc\ UV]$

substitute the given values

$m\angle RST=\frac{1}{2}[107^o-25^o]$

$m\angle RST=\frac{1}{2}[82^o]$

$m\angle RST=41^o$