Question

can someone answer this pls

Answer 1

Answer:

take ∆ABC ,

42°+87°+angleABC =180°(angle sum property)

angleABC=180°- 129°

angleABC = 51°

angleABC=angleAEF(corresponding angles)

take ∆AEG,

42°+51°+angleAGE=180°

angleAGE=180°-93°

angleAGE=87°

NOW,

angleFGC=87°(V.O.A)

angleGFC=51°(alternate angle)

angleGCF=42°(alternate angle)

since E and F are midpoints

AE=FC=12

NOW, CONGRUENT ∆AGE and ∆GFC BY AAA OR BY ASA

After congruency,

EG=GF(BY CPCTC)

THEREFORE,

EG =8

AND

angle AEG = 51°

Step-by-step explanation:

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