Answer:
EBG is equal to 27
Explanation:
We know that the sum of all three angles in a triangle is equal to 180, so we start from there. In this rectangle, there is only 1 tringle that has two angles, permitting us to find all three. This triangle is DFG. We find the last angle by subtracting: 180 - 27 - 41 = 112. Now we know that angle DGF is equal to 112. Using the fact that vertical angles always have the same value, we can also deduce that angle EGB is also equal to 112. Now we can finally find angle EBG: 180 - 41 - 112 = 27, therefore, angle EBG is equal to 27
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