In the diagram below, mpr = 140 and mqs = 106. What is the measure of ptr?
![In the diagram below mpr 140 and mqs 106 What is the measure of ptr class=](https://us-static.z-dn.net/files/de2/725e7d60bdf622157ade5f98405f87d2.png)
Answer:
Option B
[tex]m\angle PTR=123^o[/tex]
Step-by-step explanation:
we know that
The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite
so
[tex]m\angle PTR=\frac{1}{2}[arc\ PR+arc\ QS][/tex]
substitute the given values
[tex]m\angle PTR=\frac{1}{2}[140^o+106^o][/tex]
[tex]m\angle PTR=123^o[/tex]