∠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
80°
80 degrees
52°
52 degrees
128°
128 degrees
100°
m∠BCD = (x+48)°
Since ∠ACB and ∠BCD are supplementary angles, their sum is 180°.
So, (x+28) + (x+48) = 180
2x + 76 = 180
2x = 104
x = 52
Therefore, m∠BCD = (52+48)° = 100°
Therefore, the answer is 100°.