Math, asked by sakshamkuthyal, 9 months ago

in the above right sided figure if ab||cd EF is perpendicular to cd and ged =126° ​.find AGE GEF FGE .​

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Answers

Answered by mihir2695
12

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...

Answered by Anonymous
0

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 :-)

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