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The angles of a quadrilateral are (4x°), (7x°), (15x°) and (10x°). Find the smallest and largest angles of the quadrilateral. ​

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Question:-

The angles of a quadrilateral are (4x°), (7x°), (15x°) and (10x°). Find the smallest and largest angles of the quadrilateral.

Solution:-

\sf{Sum~of~the~angles~of~a~quadrilateral~are~360°.}

\sf{so,~4x°~+~7x°~+~15x°~+~10x°~=~360°}

\sf\blue{[Angle~sum~property~of~triangle]}

\sf{→~36x°~=~360°}

\sf{→~x~=~{\dfrac{360}{10}}}

\sf{→~x~=~10°}

\sf\red{Smallest~angle~=~4x°~=~4~×~10~=~40°}

\sf\pink{Largest~angle~=~15x°~=~15~×~10~=~150°}

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