Question

In a quadrilateral ABCD, the

angles A,B,C and D are in the ratio 1:

2:4:5. Find the

measure of each angles of the

quadrilateral.​

Answer 1

Answer:

the answer of this question is

Step-by-step explanation:

let the angles be X,2X4Xand5X

A/Q

X+2X+4X+5X=360°(sum of the all angles of the quadiletaral)

12X=360°

X=360°÷12

X=30°

2X=60°

4X=120°

5X=150°

these are the measurements of the angles

Answer 2

Answer:

30°,60°,120°,150°

Step-by-step explanation:

let the angles of the quadrilateral be 1x, 2x,4x and 5x.

we know the sum of the angles of a quadrilateral is 360°.

=> 1x+2x+4x+5x=360°

=>12x=360°

=>x=360/12

=>x=30°

first angle=1*30°=30°

second angle=2*30°=60°

third angle=4*30°=120°

fourth angle=5*30°=150°