Three angles measures add to 180 degrees and have the following measures:

Question

m<ACB =(x+15) degrees
m<BCD = (x+48) degrees
m<DCE = 13 degrees.
What is the measure of <BCD?

Answer 1

Since the sum of the three angles is 180 degrees, we have:
(x+15) + (x+48) + 13 = 180
2x + 76 = 180
2x = 104
x = 52

Therefore, the measure of <BCD is (x+48) = 52 + 48 = <<52+48=100>>100 degrees. Answer: \boxed{100}.