Question

the angles of a quadrilateral are in the ratio 1:3:7:9. find the measure of each angle

Answer 1

therefore the angles are 18°,54°,126°,162°

Answer 2

let the angles be 1x, 3x, 7x, 9x
then we know that the total measurement of a quadrilateral is 360°
360°=1x+3x+7x+9x
360°=20x
360°/20=x
18°=x
therefore we get the value of X
then the angles will be
1X18=18°
3X18=54°
7X18=126°
9X18=162°
then we can also check that our answer is correct or incorect by
18+54+126+162=360