Find the other two angles of the triangle.
A) \[{{80}^{o}},\,\,{{70}^{o}}\]
B) \[{{70}^{o}},\,\,{{40}^{o}}\]
C) \[{{110}^{o}},\,\,{{40}^{o}}\]
D) \[{{110}^{o}},\,\,{{75}^{o}}\]
Correct Answer: A
Solution :
Let \[{{x}^{o}}\]be the other interior angle. Then \[{{30}^{o}}+x={{110}^{o}}\] \[\Rightarrow \]\[{{x}^{o}}={{80}^{o}}\] \[\therefore \]The angles are \[{{80}^{o}},{{70}^{o}}.\] \[(Since,\,{{80}^{o}}+{{30}^{o}}+{{70}^{o}}={{180}^{o}})\]
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