Question

In a quadrilateral ABCD the angle A,B,C and D are in the ratio 1:2:3:4. Find the measure of each angle of a quadrilateral. What is the sum of exterior angles in the quadrilateral.

Answer 1

Answer:

Let Angles be x, 2x, 3x and 4x

x+2x+3x+4x = 360 (Angle sum property of quadrilateral)

10x = 360

x = 360/10

x = 36

so Angle 1 = 36

Angle 2 = 2×36 = 72

Angle 3 = 3×36 = 108

Angle 4 = 4×36 = 144

And sum of all exterior angles of quadrilateral is always 360°