The opposite corners of a quadrilateral is are right angles the shape isn't a rhombus so what is the quadrilateral figure

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Given: m∠ adb = m∠cdb ad ≅ dc prove: m∠ bac = m∠bca lol

Mr. vector door is buying two new cowboy hats all together the hats cost $75.12 the second heart cost twice as much as the first hat what is the price of the more expensive at round to the nearest hundredth