Together, the measures of B, C, and D equal 180. The angles have the following measures m B -= 25. m C = (3x) , and m D = (3x+5). What are the measures of C and D?
Given that the sum of the measures of angles B, C, and D equals 180 degrees, we have:
mB + mC + mD = 180
25 + 3x + 3x + 5 = 180
25 + 6x + 5 = 180
30 + 6x = 180
6x = 150
x = 25
Now we can substitute x back into the expressions for mC and mD:
mC = 3x = 3 * 25 = 75 degrees
mD = 3x + 5 = 3 * 25 + 5 = 75 + 5 = 80 degrees
Therefore, the measures of angles C and D are 75 degrees and 80 degrees, respectively.