How Do You Calculate Angles in a Circle with Tangents and Chords?

[wei1006]

O is the centre of the circle and XTY is a tangent to the circle. The chord TC intersects the diameter BOD at Z. If angle TÂB = 124° and angle CBD = 28° calculate
1) angle YTB
2) angle CTD
3) angle BOT
4)angle DZC
5) angle OTD
6) angle CTY

 

[BvU]

Hello Wei, welcome to PF :)

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