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Only the pair of angles opposite the line of symmetry are equal. The other two angles that are bisected by the line of symmetry are not equal. if these angles were equal then the shape would be a rhombus.
A rhombus has a pair of opposite equal acute angles and a pair of opposite equal obtuse angles and the four angles add up to 360 degrees.
This shape has only one pair of opposite sides and no right angles: <
Unfortunately, that shape is impossible to create. You would need to change one of your conditions to saying "two pairs of opposite sides that are equal" in which case you would get a rectangle. Or, you could get rid of the right angles. But if one pair of opposite sides can be equal and there are four right angles, then the other two sides will also be equal, which contradicts your first condition.
It has two pairs of angles. Each pair of opposite angles is equal.