The angles of a quadrilateral are 110°, 72°, 55° and x°.

Question:

The angles of a quadrilateral are 110°, 72°, 55° and x°. Find the value of x.

Solution:

The sum of anlges of a quadilateral is $360^{\circ}$.

So, we get $110^{\circ}+72^{\circ}+55^{\circ}+x=360^{\circ}$

$\Rightarrow 237^{\circ}+x=360^{\circ}$

$\Rightarrow x=360^{\circ}-237^{\circ}$

$\therefore x=123^{\circ}$

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