Question

ABC and BCD are supplementary angles the angles have the following measures ABC equals X +28° and BCD equals X +48° what is BCD

Answer 1

To find the measure of angle BCD, we can set up an equation since ABC and BCD are supplementary angles (their measures add up to 180 degrees).

So, we have:
ABC + BCD = 180
(X + 28) + (X + 48) = 180
2X + 76 = 180
2X = 104
X = 52

Now that we have found the value of X, we can substitute it back into the expression for BCD:
BCD = X + 48
BCD = 52 + 48
BCD = 100

Therefore, the measure of angle BCD is 100 degrees.