Mathematics
In the figure (ii) given below, AB is a diameter of the semicircle ABCDE with centre O. If AE = ED and ∠BCD = 140°, find ∠AED and ∠EBD. Also prove that OE is parallel to BD.
Related Questions
In the figure (i) given below, AC is a tangent to the circle with centre O. If ∠ADB = 55°, find x and y. Give reasons for your answers.
In the figure (ii) given below, O is the centre of the circle. Prove that x + y = z.
In the figure (ii) given below, AB is a diameter of a circle with centre O. OD is perpendicular to AB and C is a point on the arc DB. Find ∠BAD and ∠ACD.
In the figure (i) given below, O is the centre of the circle. Prove that ∠AOC = 2(∠ACB + ∠BAC).