Question

The angles of the quadrilateral are in the ratio 1 2 3 4 find the MEASURES OF EACH ANGLE​

Answer 1

Answer:

Step-by-step explanation:

THE ANGLE SUM PROPERTY = [ N-2 ] x 180 { WHERE " N " IS THE NUMBER OF SIDES

A QUADRILATERAL HAS 4 SIDES . THEREFORE N-2 x 180 = 4-2 x 180 = 2 x 180 = 360

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

10x  = 360

x = 36

therefore , 1x = 36 x 1 = 36

2x = 36 x 2 = 72

3x = 36 x 3 = 108

4x = 36 x 4 = 144

so measure of each angle =36 , 72 , 108 , 144

Answer 2

Answer:

36,72,108,144

Step-by-step explanation:

Let x be the number of angles

1x+ 2x+3x+4x =360  ( angle sum of the quadrilateral is 360)

10x= 360

x= $\frac{360}{10}$

x= 36

therefor :

1x = 36*1 =36

2x= 36*2 =72

3x = 36*3 =108

4x = 36*4 =144

therefor the angles of the the quadilateral are 36,72,108,144

HOPE THIS HELPS YOU