Question

The four angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4 . What is the measure of

each angle ?​

Answer 1

Answer:

Sum of all angles of a quadrilateral = 360degree

Let angles be x

Therefore, 1x + 2x + 3x + 4x = 360

10x = 360

x = 360/10

x = 36

Therefore measure of each angle of the quadrilateral will be as follows -

1x = 36 degree

2x = 36*2 = 76 degree

3x = 36*3 = 108 degree

4x = 36*4 = 144 degree

Answer 2

Answer:

let the ratio =x

Step-by-step explanation:

then it will be 1x+2x+3x+4x=360(by angle sum property of quadrilateral.)

10x=360

x=360/10

x=36

1×36=36

2×36=92

3×36=108

4×36= 144

36+92+ 108 +144 =360

here is the measure of each angle.