For which of the following figures, all angles are equal?

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Rectangle

Kite

Trapezium

Rhombus

answer is A.

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Detailed Solution

As we know, rectangles opposite sides are equal and parallel and also all angles are right angles. Also, the diagonals of the rectangle are equal.
We can see this in figure of rectangle WXYZ

W X = Y Z W X | | Y Z W Y = X Z W Y | | X Z ∠ W = ∠ X = ∠ Y = ∠ Z = 90 ° X Y = W Z

A kite is made up of four straight lines in which two pairs of sides are there and each pair is made of two adjacent sides i.e., they are equal in length. Also, in a kite one diagonal of a quadrilateral bisects the other. So, IJKL is a kite where all angles are not equal.
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Trapezium is a type of quadrilateral that has only two parallel sides and the other two sides are non-parallel. Also, in a trapezium all angles are not equal.
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As we know the Rhombus has 4 sides that are all equal length and opposite sides are parallel and opposite angles are equal.
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In the above figure, MNOP is a rhombus in which opposite angles are equal.