Two angles are supplementary with measures m acb=4x degrees and m bcd= (6x+50) degrees. what is the measure of bcd?

Answer 1

Since the sum of supplementary angles is 180 degrees, we can write the equation:

m(acb) + m(bcd) = 180 degrees

Plugging in the given values, we have:

4x + (6x + 50) = 180

Combining like terms:

10x + 50 = 180

Subtracting 50 from both sides:

10x = 130

Dividing both sides by 10:

x = 13

Now we can find the measure of bcd:

m(bcd) = 6x + 50

m(bcd) = 6(13) + 50

m(bcd) = 78 + 50

m(bcd) = 128 degrees

Therefore, the measure of bcd is 128 degrees.