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Question 12. In the given figure, O is the centre and AOE is the diameter of the semicircle ABCDE. If AB = BC and ∠AEC = 50°, find : (i) ∠CBE (ii) ∠CDE (iii) ∠AOB. Prove that OB is parallel to EC.

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This is circle based question from Chapter name- circles
Topic – Angle properties of circles
Chapter number- 15

In the given figure, O is the centre and AOE is the diameter of the semicircle ABCDE.

AB = BC and ∠AEC = 50°,

Now we have to find : (i) ∠CBE (ii) ∠CDE (iii) ∠AOB.

Also we have to Prove that OB is parallel to EC.

ICSE Avichal publication
Understanding ICSE Mathematics
Question no 12

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1 Answer

  1. Solution:
    In the given figure,
    O is the centre of the semi-circle ABCDE
    and AOE is the diameter. AB = BC, ∠AEC = 50°
    ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 15 Circles Ex 15.2 Q12.2
    ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 15 Circles Ex 15.2 Q12.3

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