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