Answer:
DEG = 77
Step-by-step explanation:
To find the measure of angle DEG
we first need to find the measure of angle DEF
47 + 30 + DEF = 180 (angle sum of triangle )
77 + DEF = 180
DEF = 180 -77
DEF = 103
Now lets find the measure of DEG
DEG + DEF = 180 ( linear pair )
103 + DEG = 180
DEG = 180 - 103
DEG = 77
