ABCD is a trapezium in which AB || DC and ∠A = ∠B = 45°. Find angles C and D of the trapezium.
Answers:
Given, ABCD is a trapezium and whose parallel sides in the figure are AB and DC.
Since, AB || CD and BC is transversal, then sum of two cointerior angles is 180°.
angle b + angle c = 180
angle c = 180 – angle b
180-45=135 degree
angle c = 135 degree
angle a + angle d = 180
angle d=180-45
angle d=135 degree
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