Question

In the given figure, angle AOC=46°. Find angle ABC​

Answer 1

angle ABC is 23°

• consider the theorm , (The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.)

• angle AOC = 46°

• angle ABC = 23° ( By above

theorm)

Answer 2

∠ABC  = 23° if ∠AOC  = 46°

Step-by-step explanation:

In the given figure,

∠AOC = 2 ∠ABC

as angle subtended by Chord/Arc at center = 2 * angle subtended by Chord/Arc in another arc segment

∠AOC  = 46°

=> 2 ∠ABC  = 46°

=> ∠ABC  = 23°

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