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Answer:
▪Consider triangle EFG,
<EFG=90°(AB//CD)
<GEF=<GED-<FED=135°-90°=45°
<EGF=180-(45+90)=180-135=45°
<AGE+<EGF=180°(linear angles)
<AGE+45°=180°
<AGE=180-45=135°
Extra note:
▪<AGE=<GEF + <EFG=135°
From this we can understand that,the sum of two angles of a triangle is equal to the outer angle of the third angle of the same triangle.
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2
Answer:
Given,
GED=135°
EFG =90°
GEF+FED=135°
90°+GEF=135°
GEF=135°-90°
GEF=45°
GEF+EFG+FGE=180° { According to the sum property of triangle}
45°+90°+FGE= 180°
135°+ FGE= 180°
FGE= 180°-135°
FGE= 45°
FGE+AGE=180°
45°+ AGE=180°
AGE=180°-45°
AGE=135°
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