The angles of a quadrilateral are $(x + 10), (2 x + 5), (2 x - 20)$ & $(2 x - 5)$ , then find their measures.

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Solution

Sum of angles of quadrilateral is $360^{o}$
$\Rightarrow x + 10 + 2 x + 5 + 2 x - 20 + 2 x - 5 = 360$
$\Rightarrow 7 x = 370$
$\Rightarrow x = \frac{370}{7} = 52.86$
$\Rightarrow$ Angles $= {62.86}^{o}$ , ${110.71}^{o}$ , ${85.72}^{o}$ , ${100.72}^{o}$ .

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