Together the measures of B C and D equal 180 degree the angles have the following lesson B=25 degree m C=(3x) and m D=(3x+5) degree what are the measures of C and D
Given that the sum of angles B, C, and D is 180 degrees:
B + C + D = 180
Since B = 25 degrees, we have:
25 + C + D = 180
Now, we can substitute the measures of C and D in terms of x:
C = 3x
D = 3x + 5
Substituting these values into the equation:
25 + 3x + 3x + 5 = 180
Combine like terms:
6x + 30 = 180
Subtract 30 from both sides:
6x = 150
Divide both sides by 6:
x = 25
Now, substitute x = 25 back into the expressions for C and D:
C = 3(25) = 75 degrees
D = 3(25) + 5 = 80 degrees
Therefore, the measures of angles C and D are 75 degrees and 80 degrees, respectively.