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1ugcz

Answer:

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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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