∠ACB and ∠BCD are supplementary angles. The angles have the following measures: ∡ACB=(x+28)° and ∡BCD=(x+48)° . What is m∠BCD ?(1 point) Responses 100° 100 degrees 80° 80 degrees 52° 52 degrees 128°

Answer 1

m∠BCD = 100 degrees.

Since ∠ACB and ∠BCD are supplementary angles, their measures add up to 180 degrees.

Therefore, (x + 28) + (x + 48) = 180
2x + 76 = 180
2x = 104
x = 52

Substitute x = 52 back into the measure of ∠BCD:
(x + 48) = 52 + 48 = 100

Therefore, m∠BCD = 100°.