Question

if in a polygon the exterior angles are in the ratio 2:3:1:2:4 . find the exterior angles​

Answer 1

Answer:

• 60 degrees
• 90 degrees
• 30 degrees
• 60 degrees
• 120 degrees

are the required exterior angles.

Step-by-step explanation:

Let the exterior angles be 2x, 3x, 1x, 2x and 4x.

We know that the sum of all exterior angles of a polygon is 360 degrees.

Therefore,

2x+3x+1x+2x+4x = 12x = 360 degrees

so, x= 360/12 = 30

Then the values of each angles are:

• 2x = 2 x 30 = 60 degrees
• 3x = 3 x 30 = 90 degrees
• 1x = 1 x 30 = 30 degrees
• 2x = 2 x 30 = 60 degrees
• 4x = 4 x 30 = 120 degrees

Answer 2

Answer:

60,90,30,60,120

Step-by-step explanation:

let the angles are 2x,3x,x,2x,4x

then the sum of all the exterior angles= 2x+3x+x+2x+4x=12x

but we know that the sum of all the exterior angles is equal to 360

so,

12x=360

x=30

hence the angles are-2*30=60

                                    3*30=90

                                    1*30=30

                                    2*30=60

                                    4*30=120