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