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The angles of a quadrilateral are in the ratio $3: 4: 6: 7$. Find the four angles.
Given: The angles of a quadrilateral are in the ratio $3: 4: 6: 7$.
To do: To find the angles
Solution:
Let the $3x,\ 4x,\ 6x,\ 7x$ be the angles of quadrilateral.
Therefore, $3x+4x+6x+7x=360$
$\Rightarrow 20x=360$
$\Rightarrow x=\frac{360}{20}$
$\Rightarrow x=18$
$3x=3\times 18 = 54^o$
$4x=4\times 18 = 72^o$
$6x=6\times 18 = 108^o$
$7x=7\times 18 = 126^o$
Thus, $54^o,\ 72^o,\ 108^o$ and $126^o$ are the angles of the quadrilateral.
Updated on: 10-Oct-2022
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