In the given figure, the two lines 'AB' and 'CD' intersect at a point 'O' such that "angle BOC = 125°". Find the values of x, y and z.
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Given that, AB and CD intersect at O also Angle BOC is 125°
→ Angle AOD = Angle BOC [Since they are vertically opposite angles]
Angle AOD = y = 125°
→ Angle BOC + Angle AOC = 180° [They are a linear pair ; sum would be 180°] ; Angle AOC = x
Angle AOC = x = 55°
→ Angle AOC = Angle DOB [Again, they're vertically opposite angles]
Angle DOB = z = 55°
Therefore, values of x, y and z are 55°, 125°, 55° respectively.
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