Question

Abcd is a cyclic trapezium whose sides ad and bc are parallel to each other.If angle abc=72 then measure of hothe angle bcd

Answer 1

Answer:

∠BCD = 72°

Step-by-step explanation:

Abcd is a cyclic trapezium whose sides ad and bc are parallel to each other.If angle abc=72 then measure of hothe angle bcd

Abcd is cyclic trapezium

so ∠abc + ∠ adc = 180°  ( opposite angles of a cyclic)

=> 72° + ∠ adc = 180°

=>  ∠ adc = 108°

AD ║ BC

∠ADC + ∠BCD = 180°

=> 108° + ∠BCD = 180°

=> ∠BCD = 72°