What is the measure of RST in the diagram below?

Question

asked Dec 23, 2021 125k views

1 Answer

Bcarothers · Answer 1 · 2021-12-28T23:50:27+0000

Answer:

$m\angle RST=41^o$

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

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

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

$m\angle RST=41^o$