Question

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

Answer 1

Answer:

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

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

Sum of all the angles of a quadrilateral =360

∘

∴2x+3x+4x+6x=360

∘

⇒15x=360

∘

⇒x=

15

360

⇒x=24

∘

∴ required angles are 2×24

∘

,3×24

∘

,4×24

∘

,6×24

∘

=48

∘

,72

∘

,96

∘

,144

∘

Answer 2

Step-by-step explanation:

let the ratio be x

then the ratio be 2x,3x,4x,6x

then the sum of ratio be =2x+3x+4x+6x=360°

then, =15x= 360°

x=360°/15

x =24

so, 2x =2×24=48

3x=3×24=72

4x=4×24=96

6x=6×24=144