Question

Three angles of a quadrilateral are 105°,35°and70°.find the fourth angle?
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Answer 1

Let the fourth angle be x.

${125}^{o} + {35}^{o} + {70}^{o} = {360}^{o}$
360 degree -210 degree
=x
x=150 degree

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Answer 2

Since sum of a n-sided polygon is given by  (n-2) * 180

Therefore the Quadrilateral (4 sided) = 4-2 *180

                                                               = 2*180

                                                               = 360

sum of all 4 angles = 360

sum of 3 angles   =  105 + 35 + 70

                             = 210

4th angle =  360 - 210

                 =  150