Mathematics
In the given figure, O is the centre of the circle and AB is a diameter. If AC = BD and ∠AOC = 72°, find:
(i) ∠ABC
(ii) ∠BAD
(iii) ∠ABD

Related Questions
In the given figure, ∠DBC = 58° and BD is a diameter of the circle. Calculate :
(i) ∠BDC
(ii) ∠BEC
(iii) ∠BAC

In the given figure, ABCDE is a pentagon inscribed in a circle such that AC is a diameter and side BC ∥ AE. If ∠BAC = 50°, find giving reasons :
(i) ∠ACB
(ii) ∠EDC
(iii) ∠BEC
Hence prove that BE is also a diameter.

In the given figure, A, C, B, D are points on the circle with centre O. Given ∠ABC = 62°. Find :
(i) ∠ADC
(ii) ∠CAB

The angle in a semi-circle is :
an acute angle
an obtuse angle
a right angle
can be either acute or obtuse