1.

If the angle of a quadriateral are in the ratio 3: 2: 1: 4 then what is the type of quardriateral​

Answer»

Answer :

  • Trapezium is the TYPE of Quadrilateral

Given :

  • The angle of a Quadrilateral are in the ratio 3:2:1:4

To find :

  • Type of Quadrilateral

Solution :

  • Let the ratio be 3x , 2x , x and 4X

As we know that,

  • Sum of FOUR angles in a Quadrilateral is EQUAL to 360⁰

》3x + 2x + x + 4x = 360⁰

》10x = 360⁰

》x = 360⁰/10

》x = 36⁰

Then,

  • 3x = 3(36) = 108⁰
  • 2x = 2(36) = 72⁰
  • x = 36⁰
  • 4x = 4(36) = 144⁰

So, This angles are different, Then it's a trapezium.

Trapezium is the type of Quadrilateral



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