Question

If the three exterior angles of a quadrilateral taken in an order are respectively 105 º, 85 º and 110 º then find fourth exterior angle .Also find all the interior angles.​

Answer 1

The the sum of the exterior angles is equal to 360 degree and also the sum of all interior angles is equal to 360 degree

therefore 105+85+110 + x = 360

= 300+x=360

= x= 360-300

x= 60°

Let one interior angle lies on the line on which the angle X lies

therefore X + Y = 180

Y = 180-6O

Y = 120°

so the angle which lies Infront of angle Y , that angle will be Y + z = 180

z= 180-120

z = 60°

the angle which lies Infront of the same diagonal will be equal therefore all angles will be 120,60,120,60

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