Question

two lines ab and CD intersect at O if angle AOC is equal to 50 then find angle A and Angle B O D and angle BOC​

Answer 1

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angle BOD = 50 degrees ( vertically opposite angel)

and

angle BOC = 130 ( supplementary angles)

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Answer 2

Answer:

∠AOD = 130°, ∠BOD = 50° and ∠BOC = 130°.

Explanation:

Given:

If two lines intersect then the vertically-opposite angles are equal.

∠AOC = ∠BOD = 50°

Consider ∠AOD = ∠BOC = x°

Theorem:

Sum of all angles around a point is 360°.

∠AOC + ∠AOD + ∠BOD + ∠BOC = 360°

50 + x + 50 + x = 360°

2x = 260°

x = 130°

So ∠AOD = ∠BOC = 130°

So ∠AOD = 130°, ∠BOD = 50° and ∠BOC = 130°.