**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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