Three angles of a quadrilateral are $ 75^{\circ}, 90^{\circ} $ and $ 75^{\circ}. The fourth angle is(a) $ 90^{\circ} $

(b) $ 95^{\circ} $

(c) $ 105^{\circ} $

(d) $ 120^{\circ} $

Given:
 

Three angles of a quadrilateral are $75^o, 90^o$ and $75^o$.

To do:

We have to find the fourth angle.

Solution:

We know that,

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

Let the fourth angle be x.

Therefore,

$75^o+90^o+75^o+x=360^o$

$x+240^o=360^o$

$x=360^o-240^o=120^o$

The fourth angle of the quadrilateral is $360^o$.

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Updated on: 10-Oct-2022

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