in trapezium ABCD ab parallel CD if angle A is equal to 80 degree and Angle b is equal to 75 degree then find angle d with diagram
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Answer:
Given that ABCD is a trapezium,
AB∥CD and AD=BC
To prove: (i) ∠A=∠B
(ii) ∠C=∠D
(iii) △ABC≅△BAD
(iv) AC=BD
Construction: Draw CE∥AD and extend AB to intersect CE at E.
Poof:
(i) As AECD is a parallelogram.
By construction, CE is parallel to AD and AE is parallel to CD,
∴AD=EC
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