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5 votes
Which quadrilateral or quadrilaterals cannot have two consecutive angles of 90° each? i. square ii. rectangle iii. parallelogram iv. kite v. rhombus vi. trapezoid

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User Jling
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1 Answer

4 votes
All the mentioned quadrilaterals may have two consecutive angles of 90° each. Think first about squares and rectangles, it is clear that all the four angles are 90° each. Now you deal with parallelogram; this is a polygon with two pari of parallel sides, they may be or not be 90° each, this is because square is a particular case of parallelogram. Regarding kites and rhombus, square is also a kind of kite and a kind of rhombus. Trapezoids are polygons with two parallel sides and at leas one inclined side; this leaves the possibility that one side is perpendicular to the parallel sides, which lead to two consecutive 90° angles. Then none of the answers are true.
answered
User Akinwale
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7.9k points
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