ABCD is a parallelogram, If m<CDA=66, then m<BCD=??

Question

a. 66

b. 124

c. 114

d. 132

Answer 1

<BCD and <CDA are consecutive angles. Consecutive angles of a parallelogram are supplementary (they add to 180 degrees), so.

m<CDA + m<BCD = 180

substituting the given value for m<CDA:

66 + m<BCD = 180

m<BCD = 114