Question
< ACB and < BCD are supplementary angles the angles have the following measures < ACB = (x+ 28) and < BCD = (x+ 48) what is M < BCD
Answers
GPT 3.5
To find the measure of angle BCD, we need to know the value of x. Since angle ACB and angle BCD are supplementary angles, their measures add up to 180 degrees.
Therefore, we can set up the equation:
(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 angle BCD:
CD = (x + 48)
CD = (52 + 48)
CD = 100
Therefore, the measure of angle BCD is 100 degrees.
Therefore, we can set up the equation:
(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 angle BCD:
CD = (x + 48)
CD = (52 + 48)
CD = 100
Therefore, the measure of angle BCD is 100 degrees.