Question

PLEASE DO THE ANSWER

Answer 1

Answer:

/_AGE = 126°, /_GEF = 36°, /_FGE = 54°

Step-by-step explanation:

Given :-

AB||CD and EF is perpendicular to CD

/_GED = 126°

To find :-

/_ AGE, /_GEF, /_FGE

solution :-

/_ AGE = /_ GED = 126° (alternate angles)

/_GEF + /_FED = /_GED

/_GEF + 90° = 126°

/_GEF = 126°-90°

/_GEF = 36°

In ΔGEF,

/_GEF + /_EFG + /_FGE = 180 (angle sum property of triangle)

36° + 90° + /_FGE = 180°

/_FGE = 180-126

/_FGE = 54°