Question

The angles of a pentagon measures 540° if they are in the ratio 1:2:4:1:2, find the size of each angle.

Answer 1

ⓗⓔⓨ ⓕⓡⓘⓔⓝⓓ

ⓗⓔⓡⓔ ⓘⓢ ⓨⓞⓤⓡ

ⓐⓝⓢⓦⓔⓡ



Let the angles be x


so,


$x + 2x + 4x + x + 2x = 540$

$10x = 540$


$x = \frac{540}{10} = 54 \: degrees$




so, the angles are 54, 108 , 216 , 108 , 54 degrees.


Hope it helps you


$<marquee > prabhudutt$

Answer 2

heya,

let each angle of the penatgon be x,2x,4x,x,2x respectively.

now,according to angle sum property of a pentagon
$x + 2x + 4x + x + 2x = 540$
thus,
$10x = 540$
hence,
$x = 54$
so,angle of pentagon is 54°,108°,216°,54°,108°. Ans.


Thanks

KSHITIJ