As shown in the figure, fold a square piece of paper ABCD along EF, AD / / BC. If the angle EFG = 52 °, calculate the degree of angle deg

As shown in the figure, fold a square piece of paper ABCD along EF, AD / / BC. If the angle EFG = 52 °, calculate the degree of angle deg

A quadrilateral ABCD is a rectangle,
∴AD∥BC,
∴∠DEF=∠EFG=52°,
∵ fold along EF,
∴∠DEF=∠FEG=52°,
∴∠DEG=52°+52°=104°,
So the answer is: 104 degrees

As shown in the figure, fold a rectangular strip of paper ABCD along EF, if ∠ 1 = 50 °, then ∠ AEG=______ ．

∫ quadrilateral ABCD is a rectangle, ∫ ad ∥ BC, ∫ def = ∫ 1 = 50 °, ∫ fold d to d 'along EF, ∫ FEG = ∫ def = 50 °, and ∫ AEG = 180 ° - 50 ° - 50 ° = 80 °, so the answer is: 80 °

As shown in figure 5.3.1-8, fold a rectangular piece of paper ABCD along EF. If ∠ EFG = 50 °, calculate the degree of ∠ deg

∠EFC=180-∠EFG=130
∠CEP=180-∠EFC=50
Therefore, GFN = 130-50 = 80
∠EGF=∠GFN=80
∠GEF=180-∠EGF-∠EFG=50
∠DEG=∠GEF=∠FEP=100

As shown in the figure, after folding a piece of rectangular ABCD paper along EF, the intersection of ED and BC is g, and points D and C fall on the positions of d 'and C' respectively. If ∠ EFG = 55 °, calculate the degree of ∠ AEG and ∠ EGb

∵ quadrilateral ABCD is a rectangle, ∵ ad ‖ BC, ∵ EFG = 55 °, ∵ def = ∵ EFG = 55 °, ∵ according to the folding, ∵ GEF = ∵ def = 55 °, ∵ AEG = 180 ° - 55 ° - 55 ° = 70 °, ∵ ad ‖ BC, ∵ EGb = 180 ° - AEG = 110 °