∠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
128°
128 degrees
52°
52 degrees
100°
100 degrees
80°
To find the measure of ∠BCD, we use the fact that supplementary angles add up to 180 degrees.
So, (x + 28) + (x + 48) = 180.
2x + 76 = 180
2x = 104
x = 52
Therefore, ∠BCD = x + 48 = 52 + 48 = 100 degrees.
The measure of ∠BCD is 100°.