These two angles are alternate interior, meaning that they are the same.
Therefore, 11x-10 = 2x+17
Solve to get x = 3; the two angles both equal to 23 degrees
and since EGF and DGE together form 90, DGE = 90-23 = 67
Answer:
23
67
Explanation:
DEG and EGF are alternate angles so they are equal
we have 11x - 10 = 2x + 17
x = 3
m∠EGF = 11 x 3 - 10 = 23
m∠DGE = 90 - 23 = 67
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