Question

the exterior angle of a pentagon are in the ratio 1:2:3:4:5 find all the interior angle of a pentagon​

Answer 1

Answer:

let constant x

so, x,2x,3x,4x,5x

x +2x+3x+4x+5x = 540° (sum of all angle of pentagon is 540°)

15x = 540°

x = 36°

2x = 72°

3x =108°

4x =144°

5x =180°

Step-by-step explanation:

i think t help u

Answer 2

Step-by-step explanation:

We know , sum of exterior angles of a regular polygon is 360 Let the angles be x,2x,3x,4x and 5x, 15x is 360 where as x is 24 So, exterior angles are 24,48,72,96and 120 Now , we know an exterior and it's corresponding interior angles sum up to 180 So, correspondence interior angles will be obtained by subtracting these exterior angles from 180. Interior angles of Pentagon is 156,132,108,84 and 60 please mark me as brainliest if it helps