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Angle Sum Property

The measure o...

Question

The measure of angle of a quadrilateral are in the ratio $3 : 4 : 5 : 6$ . Find their measures in radians?

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Solution

Let the angles be $3 x, 4 x, 5 x, 6 x$
Sum of angles of quadrilateral = $2 π$ radians
$⟹ 3 x + 4 x + 5 x + 6 x = 2 π ⟹ 18 x = 2 π ⟹ x = \frac{π}{9}$
Angles; $\frac{π}{3}, \frac{4 π}{9}, \frac{5 π}{9}, \frac{2 π}{3}$

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