Together, the measure 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
Let's solve the equation using the information given:
B + C + D = 180
Substituting the measures of B, C, and D:
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 we can find the measure of C:
m C = 3x = 3(25) = 75
And the measure of D:
m D = 3x + 5 = 3(25) + 5 = 75 + 5 = 80
Therefore, the measure of C is 75 degrees and the measure of D is 80 degrees.