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(C)
(i) Angle ACB = (180 - 50 - 90)
= 40°
So, AngleCAE = 40° (Alternate angle.)
As Ang.BAE = 40+50.. i.e 90°.
Therefore, BE is also the diameter.
ii) Ang. EDC = 110°
iii) Ang. BEC = 40°
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Answer:
i) 40 degrees - Angle EAC will equal 90 and because it is parallel to line BC, ACB will also equal 90-50=40.
ii) EDC = 180 -40 =140 degrees because opposite angles of a quadrilateral sum up to 180 degrees.
iii) AEC = ABC = (180 - (50 + 40)) = 90. Therefore 90/2 = 45 = BEC because opposite angles form 180 and sum of angles of triangle are 180.
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