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secondary 4 | A Maths

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YAB 80 - x degrees.

For circle 1, XT is tangent

By alternate segment theorem, YXT = XAB = x.

For circle 2, YT is tangent

By alternate segment theorem, XYT = YAB = 80 - x.

So YXT and XYT combined is 80 degrees.

So XTY is 100 degrees.