Question

011.(i) The four angles of a quadrilateral are in the ratio 2:3:4:6, Find all the angles​

Answer 1

011.(i) The four angles of a quadrilateral are in the ratio 2:3:4:6, Find all the angles

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

Answer:

Given :-

• Angles of Quardilateral are in ratio 2:3:4:6

To Find :-

Angles

Solution :-

As we know that

Sum of all angles in a Quadrilateral is 360⁰

Let the angles be 2x,3x,4x and 6x.

360 = 2x + 3x + 4x + 6x

360 = 15x

x = 360/15

x = 24

2x = 2(24) = 48⁰

3x = 3(24) = 72⁰

4x = 4(24) = 96⁰

6x = 6(24) = 144⁰