To find the measure of angle BCD, we first need to find the value of x. Since ACB and BCD are supplementary angles, their measures must add up to 180 degrees.
So, (x + 28) + (x + 48) = 180
2x + 76 = 180
2x = 104
x = 52
Now that we have found the value of x, we can find the measure of angle BCD:
BCD = x + 48
BCD = 52 + 48
BCD = 100
Therefore, the measure of angle BCD is 100 degrees, which means the answer is B. 100 degrees.
ACB and BCD are supplementary angles. The angles have the following measures: ACB = (x + 28) degrees and BCD = (x + 48) degrees. What is m BCD?
A. 52 degrees
B. 100 degrees
C. 80 degrees
D. 128 degrees
1 answer