Question

The exterior angle of pentagon are in the ratio 6:3:4:3:2. Find all it's interior angle

Answer 1

Answer:

let the exterior angles of the Pentagon be 6x,5x,4x,3xand2x

we know that sum of all exterior angles of a Pentagon is360°

=6x+5x+4x+3x+2x=360

=20x=360

=X=360/20

=18

the angles are 6x,5x,4x,3x,2x

=6*18,5*18,4*18,3*18,2*18

=108,90,72,54,36

interior angle=180-exterior angle

=180-108=72

=180-90=90

=180-72=108

=180-54=126

=180-36=144