Question

ABCD is an isosceles trapezium in which AB and CD are parallel. Find the other angles

Answer 1

Hi Mate. I regret to say that your question isn't complete. Assuming this question, I am answering your question.

ABCD is a trapezium in which AB and CD are parallel and angle a =angle b=45. What is angle c and angle d?

According to the information provided

∠A=∠B=45°

lets draw two lines ⏊ on line AB. Lets name there point of intersection as P and Q from left to right.

∠P = 90°

∴ ∠APD+∠PDA+∠DAP = 180° (Angel sum property)

= 90° + ∠PDA +45° = 180

= ∠PDA = 45°

∵ ∠PDC +∠PDA = ∠ADC

= 45°+90° =∠ADC

=135° = ∠ADC

∠C = ∠D (∵ There are correspondive by virtue)

∴ ∠C and ∠D equal to 135°.