Mathematics
If three angles of a quadrilateral are equal to 90° each, then the quadrilateral is :
rectangle
square
parallelogram
rhombus
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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