Question

Find the measure of the four angles of a quadrilateral if they are in the ratio 2:4:6:8 .



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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=15360⇒x=24∘

∴ required angles are 2×24∘,3×24∘,4×24∘,6×24∘=48∘,72∘,96∘,144∘

Answer 2

Answer:

Given

Ratio of angles= 2:4:8:6

So let the angles be 2x, 4x, 8x, 6x

as per angle sum property of quadilatrals

2x+4x+8x+6x=180⁰

10x+10x=180⁰

20x=180⁰

x= 180/20

X=9

So the angles are

2x=2(9)=18⁰

4x=4(9)=36⁰

6x=6(9)=54⁰

8x=8(9)=72⁰