Question

The angles of a quadrilateral are in the ratio of 2:3:5:8. find the measure of each of them​

Answer 1

Answer:

Now, we have the ratio of angles as 2 : 3 : 5 : 8. Let the first angle be 2x, so then according to the ratio, the angles will be 2x,3x,5x,8x. Hence, x=20∘. So, the angles will be 40∘,60∘,100∘,160∘.

Answer 2

Answer:

suppose,

angles A=2x

angle B =3x

angle C=5x

angle D=8x

Step-by-step explanation:

Measure of all angles of a quadrilateral=360°

angleA + angleB + angleC + angleD =360°

2x+3x+5x+8x=360°

18x=360°

x=360÷18

x=20°

angleA=2x. angleB=3x. angleC=5x.

=2×20° =3×20°. =4×20°

=40°. =60° =80°

angleD=8x

=8×20

=160°