a pentagon :) only has 2 right angles
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No shape does: if it has three angles the sum of the angles will be 180°, but 2 right angles is 2 x 90° = 180° which means the third angle cannot exist.
No shape does. If it has 4 sides and one pair of parallel lines it cannot have only 1 right angle, it must either have: 1) 2 right angles, 1 acute acute and 1 obtuse angle; or 2) no right angles, 2 acute angles and 2 obtuse angles; in which case it would be a trapezium (trapezoid).
Squares and rectangles have a two-dimensional shape with four sides and four right angles.
A 4 sided polygon is called a quadrilateral. Depending on where the two right angles are, would put the quadrilateral into different subsets. For example if the two right angles are on adjacent corners (and the other 2 angles are not right angles), then it is a trapezoid. If the 2 right angles are in opposite corners, and the other 2 angles are not right angles then it would be a kite-shaped quadrilateral.
The sum of the interior angles of a polygon is 2n - 4 right angles, where n is the number of sides. For a 24 sided shape this gives (2 x 24) - 4 = 44 right angles = 3960°.