Answer:
23°
Step-by-step explanation:
Since ray DC bisects angle BDA, then angles BDC and ADC are congruent. That means their measures are equal.
Set the measures 2x + 25 and 7x + 30 equal and solve for x.
7x + 30 = 2x + 25
5x = -5
x = -1
Now we use the value of x to find the measure of angle ADC.
m<ADC = 7x + 30 = 7(-1) + 30 = -7 + 30 = 23
Answer: 23°
