Comprehension

In the figure O is the centre of the circle and A, B, C are points on the circle. AOB = 50^, BOC = 80^. 

 

Question: 1

Calculate ADB.

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Always identify which arc an inscribed angle corresponds to. Then find the central angle for that same arc. The inscribed angle will always be half the central angle.
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Question: 2

Calculate all angles of triangle ABC.

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For an inscribed triangle, each angle is determined by the arc it subtends. You can find all angles using the central angles and then use the "sum of angles is 180°" property as a final check.
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