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7th Class Mathematics Algebraic Expressions Question Bank Algebraic Expressions

  • question_answer
    The angles of a quadrilateral are \[(p+25){}^\circ ,\] \[2p{}^\circ ,\] \[(2p-15){}^\circ \]and\[(p+20){}^\circ \]. What is the value of the largest angle?

    A) \[105{}^\circ \]                        

    B)  \[110{}^\circ ~\]

    C) \[115{}^\circ \]                        

    D)  \[135{}^\circ ~~\]

    Correct Answer: B

    Solution :

    (b) Sum of angles in a quadrilateral is\[{{360}^{o}}\]. \[\Rightarrow \]\[6p+30{}^\circ =360{}^\circ \] \[\Rightarrow \]\[p=\frac{330{}^\circ }{6}=55{}^\circ \] Angle are  \[\therefore \]          \[(p+25){}^\circ =80{}^\circ ,2p{}^\circ =110{}^\circ 2p-15=95{}^\circ \] \[(p+20){}^\circ =55{}^\circ ,20{}^\circ =75{}^\circ \] \[\therefore \] The biggest angle is \[110{}^\circ \]


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