Question : In the given figure,
Option 1: 65°
Option 2: 50°
Option 3: 55°
Option 4: 45°
Correct Answer: 45°
Solution :
AB = BC
Concept:
The sum of opposite angles in a cyclic quadrilateral is 180
Angles made by the same chord on the same side of the circle are equal.
If two sides of a triangle are equal, it is an isosceles triangle and thus has two equal angles
Using the concept of the angle made by the same chord,
⇒
⇒
Using the concept of cyclic quadrilateral,
⇒ (
⇒ (65
⇒
⇒
Since
⇒
Hence, the correct answer is 45
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