Question

calculate the angle marked with letter O is the centre of the circle wherever given​

Answer 1

Answer:

the attachment co tains the solution

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Answer 2

Theorem 1: The angle made by a chord on a circle is half that of the central angle of the chord in the same order.

By theorem 1, since the obtuse angle with the 50° angle at the bottom is 130°, b = 360° - 260° = 100° and a = b/2 = 50°

Theorem 2: The angle made by a chord in a circle with the radius drawn from any of its point forms a complementary pair with the acute angle made by that chord on the circle.

[Note: Two angles are said to be complementary if their sum is 90°.]

By theorem 2, c = 90° - a = 40°.