the measure of two adjacent angles of a quadrilateral are 110 degree and 50 degree and other two acute angles are equal. find the measureof each angles

**Please check your question once because as per my interpretation other two angles will not be acute if they are equal.**

Let each of other two angles of a quadrilateral be

*x*.

Measure of adjacent angles are $110\xb0$ and 50$\xb0$.

We know that the sum of angles of quadrilateral is 360$\xb0$.

So; $x+x+110\xb0+50\xb0=360\xb0\phantom{\rule{0ex}{0ex}}$

$\Rightarrow 2x+160\xb0=360\xb0\phantom{\rule{0ex}{0ex}}\Rightarrow 2x=360\xb0-160\xb0=200\xb0\phantom{\rule{0ex}{0ex}}\Rightarrow x=\frac{200\xb0}{2}=100\xb0\phantom{\rule{0ex}{0ex}}$

Therefore four angles of quadrilateral are $110\xb0$, 50$\xb0$,100$\xb0$ and 100$\xb0$

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