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7th Class Mathematics The Triangle and its Properties Question Bank The Triangle and Its Properties

  • question_answer
    Find the measure of \[\angle LNM\]in the given figure.                     

    A)  \[{{30}^{o}}\]                    

    B)  \[{{80}^{o}}\]                    

    C)         \[{{70}^{o}}\]                 

    D)         \[{{60}^{o}}\]        

    Correct Answer: D

    Solution :

    \[\angle KLO=\angle MLN\] \[\therefore \]    \[\angle MLN={{70}^{o}}\] in \[\angle LMN,\] \[\angle MLN+\angle LNM+\angle LMN={{180}^{o}}\] (Angle sum property)             \[\Rightarrow \]\[{{70}^{o}}+\angle LNM+{{50}^{o}}={{180}^{o}}\]   \[\Rightarrow \] \[\angle LNM={{180}^{o}}-({{70}^{o}}+{{50}^{o}})={{60}^{o}}\]


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