A) \[{{108}^{o}},{{72}^{o}}\]
B) \[{{72}^{o}},{{36}^{o}}\]
C) \[{{100}^{o}},{{80}^{o}}\]
D) \[{{144}^{o}},{{36}^{o}}\]
Correct Answer: A
Solution :
Let the angles be \[3x\] and \[2x\]. We have, \[3x+2x={{180}^{o}}\] \[\Rightarrow \] \[5x={{180}^{o}}\] \[\Rightarrow \] \[x={{36}^{o}}\] \[\therefore \]The angles are \[{{36}^{o}}\times 3\] and \[{{36}^{o}}\times 2={{108}^{o}}\] and \[{{72}^{o}}\].
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