in the given figure two straight lines ab and cd intersect at a point o and L aoc =50 degree . then, L bod = ?
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Answer:
The angle ∠AOD = ∠BOC 130°, ∠BOD = 50°.
Step-by-step explanation:
Consider the provided information.
If two lines intersect at a point then the vertical opposite angles are equal.
Now consider the figure 1:
∠AOC and ∠BOD are vertical opposite angles, also ∠AOD and ∠BOC are vertical opposite angles.
It is given that ∠AOC = 50° Thus, ∠BOD = 50°.
Let ∠AOD = ∠BOC = x°
As we know that the sum of all angle around a particular point is 360°.
Therefore,
∠AOC + ∠BOD + ∠AOD + ∠BOC = 360°
50° + 50° + x° + x° = 360°
2x° = 360° - 100°
2x° = 260°
x° = 130°
Hence, the angle ∠AOD = ∠BOC 130°, ∠BOD = 50°.
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Sory but I don't no the answer
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