Question

In the diagram below, mpr = 140 and mqs = 106. What is the measure of ptr?

Answer 1

Answer:

Option B

$m\angle PTR=123^o$

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

$m\angle PTR=\frac{1}{2}[arc\ PR+arc\ QS]$

substitute the given values

$m\angle PTR=\frac{1}{2}[140^o+106^o]$

$m\angle PTR=123^o$