Question

Together, the measure of B, C, and D equal 180. The angles have they following measures: mB = 25, mC =(3x), and mD = (3x + 5). What are the measures of C and D?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the measures of C and D, we can use the fact that the sum of the measures of the angles is equal to 180 degrees.

So we have:
mB + mC + mD = 180

Substituting the given measures, we get:
25 + 3x + 3x + 5 = 180

Combining like terms, we have:
25 + 6x + 5 = 180

Combining further, we get:
30 + 6x = 180

Subtracting 30 from both sides, we get:
6x = 150

Dividing both sides by 6, we get:
x = 25

Now, we can substitute x back into the expressions for mC and mD to find their measures:
mC = 3x = 3 * 25 = 75
mD = 3x + 5 = 3 * 25 + 5 = 75 + 5 = 80

So, the measure of angle C is 75 degrees and the measure of angle D is 80 degrees.