The angles of a quadrilateral are in the ratio 2:3:4:6. Find the measu

1.	The angles of a quadrilateral are in the ratio 2:3:4:6. Find the measure of each offour angles
Answer» Let the angles be, 2x,3x,4x,6x we know that the sum of all the angles of a quadrilateral is 360 degree ⇒2x+3x+4x+6x=360 ⇒15x=360 ⇒x=360÷ 15 ⇒x=24 thereforethe angles are- 2x⇒224=48 degree 3x⇒324=72 degree 4x⇒424=96 degree 6x⇒624=144 degree

The angles of a quadrilateral are in the ratio 2:3:4:6. Find the measure of each offour angles

Answer»

Let the angles be,

2x,3x,4x,6x

we know that the sum of all the angles of a quadrilateral is 360 degree

⇒2x+3x+4x+6x=360

⇒15x=360

⇒x=360÷ 15

⇒x=24

thereforethe angles are-

2x⇒2*24=48 degree

3x⇒3*24=72 degree

4x⇒4*24=96 degree

6x⇒6*24=144 degree