Question

The four angles are in the ratio of 2:3:4:6.Find the angles.

Answer 1

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

therefore the angles are

2x⇒2*24=48 degree

3x⇒3*24=72 degree

4x⇒4*24=96 degree

6x⇒6*24=144 degree

Answer 2

Answer:

angles are 2×24⁰ ,3×24⁰,4×24⁰,6×24⁰ =48⁰,72⁰,96 ⁰ ,144⁰

Step-by-step explanation:

Given Ratio of angles :-2:3:4:6

The measures of the angles of a quadrilateral are in the ratio 2:3:4:6

Since we have ratio and not direct values let the common multiple be x

Let each angle of the quadrilateral be 2x,3x,4x and 6x.

Sum of all the angles of a quadrilateral =360⁰

∴2x+3x+4x+6x=360⁰

15 x= 360°

x = 360/15

x= 24

∴ required angles are 2×24⁰ ,3×24⁰,4×24⁰,6×24⁰ =48⁰,72⁰,96 ⁰ ,144⁰

${}$