Question

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Answer 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.