Question

Three angles of quadrilateral are respectively equal to 110° , 50° , 40° find its fourth angle .

Answer 1

sum of angles in a quadriletaral=360

110+50+40+x=360
200+x=360
x=360-200
x=160

there fore the fourth angle =160

Answer 2

Given,

The three angles of a quadrilateral are 110°, 50°, 40°

To Find,

The 4th angle of the quadrilateral =?

Solution,

We know that a quadrilateral has 4 sides.

By angle sum property, we have

Sum of all interior angles = (n-2) * 180°

In this case, n = 4

Sum of all the angles of the quadrilateral = (4 - 2) * 180°

Sum of all the angles of the quadrilateral = 2 * 180°

Sum of all the angles of the quadrilateral = 360°

Therefore, the sum of all angles is 360°.

110° + 50° +  40° + Fourth angle = 360°

The 4th angle of the quadrilateral = 360° - 110° - 50° - 40°

The 4th angle of the quadrilateral = 360° - 200°

The 4th angle of the quadrilateral = 160°

Hence, the fourth angle of the quadrilateral is 160°.