Angle

[Eklav Rai]

(a) Three of the angles of a quadrilateral are each 102*.
     Find the fourth angle.

(b) Each interior angle of a polygon is 168*.
  How many sides has the polygon??

[Eklav Rai]

Hey reply please!!

[Open Intelligence]

(a) A quadrilateral has 4 sides, thus 4 angles.

The total of these 4 angles should be (4-2)*180 = 360^o

Fourth angle = 360 - (102 * 3)
                   = 360 - 306
                   = 54^o

(b) Exterior angle = 180 - 168
                          = 12

Thus, number of sides = 360/size of exterior angle
                                 = 360/12
                                 = 30