in the above right sided figure if ab||cd EF is perpendicular to cd and ged =126° .find AGE GEF FGE .
Answers
Answer:
here is your answer
Step-by-step explanation:
Alternate angles:When two lines are crossed by another line the pair of angles on opposite sides of the transversal is called alternate angles.
Theorem 1:If a transversal intersects two Parallel Lines then each pair of alternate interior angles is equal.
Theorem 2 :If a transversal intersects two lines such that a pair alternate interior angle is equal then the two lines are parallel.
SOLUTION:
Given: ∠AGE=126°
∠AGE=∠GED=126∘ [alternate interior angles]
(ii) ∠GED=∠GEF+∠FED=126∘
∠GEF + 90° =126°
(GIVEN that EF⊥CD)
∠GEF=126°−90°=36°
∠GEF=36°
(iii) ∠CEG+∠GED=180°
(GIVEN ∠GED=126∘)
∠CEG+126° =180°
∠CEG=180° −126°
∠CEG=54°
∠FGE=∠CEG= 54° (alternate angles)
HOPE THIS WILL HELP YOU...
Answer:
These are the answers you can go for,
AGE = 126
GEF = 36
FGE = 54
Step-by-step explanation:
AGE = 126 ( co-interior angles )
Now for finding GEF,
As FED is 90 degree
FED + GEF = 126
90 + GEF = 126
GEF = 126 - 90
GEF = 36
Now for finding FGE,
we can go with linear pair of AGE and FGE
AGE + FGE = 180
126 + FGE = 180
FGE = 180 - 126
FGE = 54
Thank you :-)