The value of m∠DE is 74° and m∠DEG is 51°
Based on the information given, to get the values of each measurement will go thus:
5x + 1 + 23° = 7x + 4°
Collect like terms
7x - 5x = 23° + 1° - 4°
2x = 20°
x = 20°/2
x = 10°
The value of x is 10°.
Therefore,
m∠DEF= (7x + 4)° = (7×10) + 4 = 74°
m∠DEG= (5x +1)° = (5×10) + 1 = 51°
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