Answer:
Explanation:-
∠EDC = ∠ABD ( Corresponding Angles )
∠DEC = 180° - 95°
∠EDC = 180° - 40° + 85°
∠EDC = 180° - 125°
Now,
we know that the sum of all the angle of the quadrilateral is 360°
so,
∠ABD ∠BAE ∠BDE ∠DEA = 360°
55° + 95° + 125° + x = 360°
275 + x = 360°
x = 360° - 275°
So, ∠FAE = 180° - 85°
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Verified answer
Answer:
∠ x = 55°
∠ y = 95°
Explanation:-
∠EDC = ∠ABD ( Corresponding Angles )
∠DEC = 180° - 95°
∠DEC = 85°
∠EDC = 180° - 40° + 85°
∠EDC = 180° - 125°
∠EDC = 55°
∠55° = ∠55°
SO, ∠ABD = 55°
Now,
we know that the sum of all the angle of the quadrilateral is 360°
so,
∠ABD ∠BAE ∠BDE ∠DEA = 360°
55° + 95° + 125° + x = 360°
275 + x = 360°
x = 360° - 275°
x = 85°
So, ∠FAE = 180° - 85°
∠FAE = 95°