Question

find the measuring of the four angles of a quadrilateral if they are in the ratio 2:4:6:8​

Answer 1

Given angles ratio = 2:4:6:8

So angles are 2x,4x,6x,8x

==> 2x + 4x + 6x + 8x = 360°

$20x = 360 \\ 2x = 36 \\ x = 18$

=>

$2x = 2(18) = 36$

$4x = 4(18) = 72$

$6x = 6(18) = 108$

$8x = 8(18) = 144$

Answer 2

Let the angles be 2x, 4x, 6x & 8x respectively

By angle sum property of quadrilateral,

2x+4x+6x+8x = 360°

20x= 360°

x= 360/20

x= 18°

So the angles are ,

2x= 36°

4x=72°

6x=108°

8x=144°

HOPE IT HELPS...