9514 1404 393
Answer:
77
Step-by-step explanation:
The sum of the measures of the two given arcs is 180°, the measure of semicircle ADC. Using this fact, we can find x and the measure of DC.
AD +DC = 180
(19x -49) +(5x +37) = 180
24x = 192 . . . . . . . . . . . add 12, simplify
x = 8 . . . . . . . . . . divide by 24
Then the measure of DC is ...
DC = 5x +37 = 5(8) +37 = 40 +37
DC = 77
