Ifs\[\angle QPR={{80}^{o}}\], find the measure of\[\angle QOR\].
A) \[{{80}^{o}}\]
B) \[{{130}^{o}}\]
C) \[{{100}^{o}}\]
D) \[{{90}^{o}}\]
Correct Answer: B
Solution :
Refer the question figure \[\angle 1=\angle 2\]and \[\angle 3=\angle 4\] In \[\Delta PQR,{{80}^{o}}+\angle Q+\angle R={{180}^{o}}\] \[\Rightarrow \]\[\angle Q+\angle R={{100}^{o}}\] \[\Rightarrow \]\[\angle 2+\angle 3={{50}^{o}}\] In \[\Delta QOR,{{50}^{o}}+\angle QOR={{180}^{o}}\] \[\Rightarrow \]\[\angle QOR={{180}^{o}}-{{50}^{o}}={{130}^{o}}\]
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