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All the angles of a quadrilateral are equal. What special name is given to this quadrilateral ? |
Answer» We know that, sum of all angles in a quadrilateral is `360^(@)`. If ABCD is a quadrilateral, `angleA+angleB+angleC+angleD=360^(@)" "...(i)` But it is given all angles are equal. `therefore" "angleA=angleB=angleC=angleD` From Eq. (i), `angleA+angleA+angleA+angleA=360^(@)` `rArr" "4angleA=360^(@)` `therefore" "angleA=90^(@)` So, all angles of a quadrilateral are `90^(@)`. Hence, given quadrilateral is a rectangle. |
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