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Mathematics

If three angles of a quadrilateral are equal to 90° each, then the quadrilateral is :

  1. rectangle

  2. square

  3. parallelogram

  4. rhombus

Rectilinear Figures

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Answer

Given,

Three angles of a quadrilateral are equal to 90° each.

We know that,

Sum of angles of a quadrilateral = 360°.

Let fourth angle be x.

∴ 3 × 90° + x = 360°

⇒ 270° + x = 360°

⇒ x = 360° - 270° = 90°.

We know that,

Each interior angle of a rectangle and square equals to 90°.

Each square is a rectangle but not each rectangle is a square.

Hence, Option 1 is the correct option.

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