Question

the four angle of a quadrilateral are in ratio 1:2:3:4 what is the measure of each angel. With reasons what type of qadrilateral it is?

Answer 1

Let angles of quadrilateral be 1x, 2x, 3x and 4x

By angle sum property of quadrilateral

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

10x=360

x=360/10

x=36

Therefore, 1x=1×36=36°

2x=2×36=72°

3x=3×36=108°

4x=4×36=144°

Sum of adjacent angle =72+102=180°

Also, 144+36=180°

Hence, Two lines are ║

∴It is a trapizium

Answer 2

let the angle of quadrilateral be 1x 2x 3x 4x

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

10x = 360

x=360/10

×= 36

angle 1 × 36 = 36

angle 2 × 36 = 72

angle 3 × 36 = 108

angle 4 × 36 = 144

HOPE IT HELPS YOU!!