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9th Class Mathematics Triangles Question Bank Triangles

  • question_answer
    One of the angles of a triangle is\[{{75}^{o}}\]. If the difference of the other two angles is\[{{35}^{o}}\], what is the measure the largest angle of the triangle?

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

    B) \[{{75}^{o}}\]            

    C)        \[{{100}^{o}}\]                      

    D)        \[{{100}^{o}}\]

    Correct Answer: B

    Solution :

    Let \[x,y,z\]be three angles of the\[\Delta \] Given \[x={{75}^{o}}\]and \[y-z-={{35}^{o}}\]??(i) \[x+y+z={{180}^{o}}\]                      ?.(ii) \[\Rightarrow \]\[{{75}^{o}}+y+z={{180}^{o}}\] \[y+z={{105}^{o}}\]               ?.(iii) From (i) and (iii)\[y={{70}^{o}},z={{35}^{o}}\] From (ii), we get \[x={{75}^{o}}\] \[\therefore \]The measure of largest angle is \[{{75}^{o}}.\]


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