Math, asked by ItzCuteAyush0276, 1 month ago

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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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Answered by Merci93
2

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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

125 + x = 180

x = 180 - 125 = 55

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.

Have a good day!

Answered by Anonymous
0

Answer:

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tc

(^_^メ)

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