Question

if AB parallel to CD,EF perpendicular to CD and angle AGE,angle GEF and angle FGE​

Answer 1

Question:

If AB||CD, EF perpendicular to CD and Angle GED = 126°, find Angle AGE, Angle GEF and Angle FGE.

Solution:

Angle AGE = Angle GED (alternate interior angle)

Angle AGE = 126°

Angle FED = 90° (given)

Angle FED + Angle GEF = Angle GED

90° + Angle GEF = 126°

Angle GEF = 126°-90° = 36°

Angle GEF = 36°

Angle AGE + Angel FGE = 180° (linear pair)

126° + Angel FGE = 180°

Angel FGE = 180°-126°

Angel FGE = 54°

hope this is your answer.