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

Answer 1

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.