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

Solution:In the given figure,

O is the centre of the semi-circle ABCDE

and AOE is the diameter. AB = BC, ∠AEC = 50°