Question

Three angles of a quadrilateral is 52°, 83° and 105°. Calculate the fourth angle.

Answer 1

The formula for the area of the triangle is given by S=12[x1(y2−y3)+x2(y3−y1)+x3(y1−y2)] , where, (x1,y1),(x2,y2),(x3,y3) are the coordinates of the three vertices of the triangle. The units of the area are assumed to be square units.

Answer 2

let the Fourth angle be = x

52 + 83 + 105 + X = 360

240 + X = 360

X = 360 - 240

X = 120

Fourth angle is 120

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