Question

In a trapezium ABCD, DC|| AB and ∟A = ∟B = 450 , the teacher asked to find ∟D. Naresh answered it is​

Answer 1

Step-by-step explanation:

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

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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°