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Angle A = 40°
CE II BA
BD is transversal
Angle ECD = Angle ABC = 55° ( corresponding angles)
Angle sum property
Angle BAC + Angle ABC + Angle ACB = 180
40° + 55° + Angle ACB = 180°
95 + Angle ACB = 180
Angle ACB = 180 - 95
Angle ACB = 85°
Angle ACB = 85°
Angle ABC = 55°
CE II BA
BD is transversal
Angle ECD = Angle ABC = 55° ( corresponding angles)
Angle sum property
Angle BAC + Angle ABC + Angle ACB = 180
40° + 55° + Angle ACB = 180°
95 + Angle ACB = 180
Angle ACB = 180 - 95
Angle ACB = 85°
Angle ACB = 85°
Angle ABC = 55°
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Answer:
Step-by-step explanation:
as ∠ECD and∠ABC lie on EC and AB respectively and BD is a transversal.
∠ECD = ∠ABC = 55°
In ΔABC,
∠A +∠B +∠C =180° (angle sum property )
40°+55°+∠ACB = 180°
95° +∠ACB = 180°
∠ACB =180° -95°
∠ACB = 85°
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