Question

the angles of a qadrilateral are in the ratio 2:3:4:6.FIND in 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

∘