acb and bcd are supplementary anfles the angles have the following meausre acb = x + 28 and bcd = x + 48 what is m bcd

Answer 1

Since acb and bcd are supplementary angles, their measures add up to 180 degrees. Therefore, we can write the following equation:

(x + 28) + (x + 48) = 180

Solving for x:

2x + 76 = 180
2x = 104
x = 52

Substitute x back into the expression for bcd:

bcd = x + 48
bcd = 52 + 48
bcd = 100

Therefore, the measure of angle bcd is 100 degrees.