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.
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?
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