Question

If AB || CD, EF ⊥ CD and ∠GEF = 45° as per the figure given below.The value of ∠AGE is:

a. 120°
b. 140°
c. 90°
d. 135°​

Answer 1

Answer:

135 is the correct answer

Answer 2

Answer:

Correct answer is option (d) 135°

Step-by-step explanation:

<GEC + <GEF + <FED = 180° (Linear Pair)

<FED = 90° (right angle)

<GEF = 45° (given)

so <GEC ,

= <GEC + 45° + 90° = 180°

<GEC + 135° = 180°

<GEC = 180° - 135°

<GEC = 45°

<GEC + <AGE = 180° (co -interior angles)

45° + <AGE = 180°

<AGE = 180° - 45°

<AGE = 135°

Please mark my answer as a brainliest answer