Oh, dude, you're talking about a square, man. It's the shape that's like, "Yeah, I got four sides, but three of my angles are all chill and equal, you know?" So, next time you see a shape with those equal angles, just give it a little nod and be like, "Sup, square."
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A quadrilateral with three equal angles is called a "trapezoid." In a trapezoid, one pair of opposite angles are equal, while the other pair of opposite angles are also equal. The three equal angles in a trapezoid are typically referred to as the base angles, and they are equal to 90 degrees each in an isosceles trapezoid.
Oh, isn't that a lovely question! A quadrilateral with 3 equal angles is called a rhombus. Just like painting a happy little tree, each angle in a rhombus is the same, creating a sense of balance and harmony. Keep exploring the wonderful world of shapes, my friend!
There is no specific name for one with 3 equal angles. All the interior angles in a quadrilateral add up to 360°. So you would have 3A + B = 360. Where angles A = C = D. Now a rectangle has 4 equal angles (90°), so it also has 3 equal angles. And just happens to have the 4th angle equal the other 3.
To visualize a quadrilateral with only 3 equal angles: take a square ABCD, and stretch angles A,C & D to 91°. Now angle B will equal 87°.
A rhombus, an equal sided parallelogram or an equal sided quadrilateral with no right angles.
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A quadrilateral with 4 equal sides and 4 right angles is a square.
The description given could be that of a quadrilateral kite.
A Rhombus has four equal sides but not (necessarily) four equal angles.