Question

In the given figure O is the centre of circle proove XOZ=2(XZY+YXZ)

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Answer 1

Answer:

In circle C (O, r), ⌢ X Y XY⌢ subtends ∠XOY at the centre O and ∠XZY at a point Z on the remaining part of the circle. By Central Angle theorem ∠XOY = 2 ∠XZY ….(1)

Similarly, ∠YOZ = 2 ∠YXZ …(2) Adding Eqn. (1) & (2)

∠XOY + ∠YOZ = 2 (∠XZY + ∠YXZ) => ∠XOZ = 2 (∠XZY + ∠YXZ)

Hence proved

Step-by-step explanation:

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