Question

in the given figure , if AB||CD, EF perpendicular CD and angle GED =126degree , find angle AGE, angle GEF and angle FGE​

Answer 1

$\bf\:{\underline{Given}}:-$

• AB || CD and EF ⊥ CD

• ∠GED = 126°

To find :-

• ∠AGE , ∠GEF , ∠FGE

Solution :-

∠GEF + ∠FED = 126°

∠ GEF + 90° = 126°

∠GEF = 126° - 90°

∠ GEF = 36°

Now,

∠ AGE and ∠GED are alternate interior angles

so,

∠AGE = ∠GED = 126°

Then,

∠ AGE + ∠FGE = 180° (linear pair)

126° + ∠FGE = 180°

∠FGE = 180° - 126°

∠FGE = 54°

Hence,

• ∠AGE = 126°

• ∠GEF = 36° and,

• ∠FGE = 54°

$\blue{\bigstar}\:\:{\underline{\boxed{\bf\red{More\:Information}}}}$

✪ Linear pair :- A pair of adjacent angles whose sum is a straight line (180°) is known as linear pair.

Answer 2

Answer:

hope this helps you mate xD