Question

the 4 angles of a quadrilateral are in the ratio 2 3 5 8.find the angles

Answer 1

Answer:

Let the angles be 2x, 3x, 5x and 8x.

then

we know that sum property of quad. =360°

2x+3x+5x+8x=360°

18x=360°

x=360/18

x=20°

so,

2x=2 *20=40°

3x=3*20=60°

5x=5*20=100°

8x=8*20=160°

so all four angles are 40°,60°,100° and160°

Answer 2

Answer:

the angles of the quadrilateral

= 40°, 60° , 100° , 160°

Step-by-step explanation:

given that,

four angles of a quadrilateral are in the ratio 2 3 5 :8

let the common ratio of the angles be x

so,

angles of the quadrilateral will be

2x, 3x, 5x, 8x

we know that,

sum of angles of a quadrilateral = 360°

so,

2x + 3x + 5x + 8x = 360

18x = 360

x = 360/18

x = 20

now,

angles = 2x

= 2(20)

= 40°

3x = 3(20)

= 60°

5x = 5(20)

= 100°

8x = 8(20)

= 160°

so,

the angles of the quadrilateral

= 40°, 60° , 100° , 160°