Three angles of a quadrilateral are respectively equal to $110^o, 50^o$ and $40^o$. Find its fourth angle.


Given:

Three angles of a quadrilateral are respectively equal to $110^o, 50^o$ and $40^o$.

To do:

We have to find its fourth angle.

Solution:

We know that,

Sum of the angles in a quadrilateral is $360^o$.

Let the fourth angle be $x$.

Therefore,

$110^o+50^o+40^o+x=360^o$

$200^o+x=360^o$

$x=360^o-200^o$

$x=160^o$

Hence, the fourth angle is $160^o$.

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Updated on: 10-Oct-2022

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