in the figure AB||CD,FAE=90°,AFE=40°
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∠FEB=∠AFE+∠FAE −−(Sum of interior angle of a ∆ is equal to its exterior angle)⇒∠FEB=40°+90° ⇒∠FEB=130°Now, ∠FEB=∠ECD=130° −−(corresponding angles as AB∥CD)
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Answered by
75
Answer:
130
Step-by-step explanation:
By angle sum property in triangle FAE.
90 + 40 + AEF = 180
Or, AEF = 50
CEB = AEF = 50 (vertically opp. angles)
ECD + CEB = 180
Or, ECD + 50 = 180
ECD = 130
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