Math, asked by questionerhere, 2 months ago

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Answers

Answered by MRDEMANDING
1

Given:-

  • The ratio of the measures of angles of a quadrilateral in orders is 1:2:1:2.

To Find:-

  • Find the measures of its angles & write the type of Quadrilateral.

Concept used:-

  • Sum of all angles of Quadrilateral is 360°

Now,

  • Let the ratio be "x"

  • So, The angles became x, 2x, x, 2x

Therefore,

  • → x + 2x + x + 2x = 360°

  • → 6x = 360

  • → x = 360/6

  • → x = 60

Hence, The Value of x is 60°

So, x = 60 and 2x = 120.

  • The value of angles of this Quadrilateral is 60, 120, 60 and 120.

  • → It is a Parallelogram because opposite angles are equal.
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