Question

In the ajoining figure ABCD is a trapezium in which AB||DC if angle A=35 degree And B=75 then find C and D

Answer 1

Step-by-step explanation:

for the give condition of ab||cd

it states that the sum of angles a and c are 180deg

similarly to b and d

therefore 180-35=c

180-75=d

Answer 2

Answer:

angle C = 105° and angle D = 145°

Step-by-step explanation:

Sum of adjacent angles of a trapezium = 180°

Sum of interior angles of a trapezium = 360°

=> A + D = 180° & B + C = 180°

but given, A = 35° & B = 75°

=> 35° + D = 180° and 75° + C = 180°

=> D = 180° - 35° and C = 180° - 75°

=> angle D = 145° and angle C = 105°