Rectangle ABCD AB parallel DC prove angle A congurent ANgle B

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1. ABCD is a quadrilateral in which AB parallel DC and AD=BC.prove that (1)angle A + angle C =180 degree = angle B + angle D
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2. ABCD is a quadrilateral in which AB parallel DC and AD=BC.prove that (1)angle A + angle C=180 degree= angle + angle D (2)AC=BD
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3. Suppose ABCD is a trapezium in which AB is parallel to CD and AD=BC.prove that angle A=angle B and angle C=angle D.
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4. Given quadrilateral ABCD,ABllDC, diagonal AC.we can prove that angle 1= angle 2, but cannot prove angle 3=angle4 Why is this.
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