Question

ABCD is a trapezium in which AB || DC

and ∠A = ∠B = 45º. Find angles C and

D of the trapezium.​

Answer 1

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