Question

ABCD is a cyclic trapezium with AB parallel to CD. If angle B = 45° then find other 3 angles of trapezium .
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Answer 1

Answer:

Given- ABCD is a trapezium with AB∥CD, ∠A=∠B=45°

To find out- ∠D and ∠C=?

Solution-

∠A and ∠D are the adjacent angles of the trapezium within AB∥CD.

∴∠A+∠D=180°

⇒45 °

+∠D=180 °

⇒∠D=135°

Similarly ∠B and ∠C are the adjacent angles of the trapezium within AB∥CD.

∴∠B+∠C=180°

⇒45 °

+∠C=180 °

∠C=135 °

Step-by-step explanation:

Hope it was helpful