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8th Class Mathematics Understanding Quadrilaterals Question Bank Understanding Quadrilaterals

  • question_answer
    Rohit has 6 wooden sticks of equal length. He wants to join all of them in such a way that they make a regular polygon, at what internal angle he has to join wooden stick with each other?

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

    B)  \[\text{120 }\!\!{}^\circ\!\!\text{ }\]

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

    D)  \[90{}^\circ \]

    Correct Answer: B

    Solution :

    Each interior angle \[={{\left( \frac{2n-4}{n}\times 90 \right)}^{o}}\] where n=number of sides of the polygon Here, n = 6 \[\therefore \] Each interior angle \[={{\left( \frac{(2\times 6)-4}{6}\times 90 \right)}^{o}}\]\[={{\left( \frac{8}{6}\times 90 \right)}^{\text{o}}}=120{}^\circ \]


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