Math, asked by abhignya324, 8 months ago

Lines AB and CD intersect at O. If ∟AOC=(3x-10o) and ∟BOD=(20o-2x), then the value of x is

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Answered by RvChaudharY50
3

Given :-

  • Lines AB and CD intersect at O.
  • ∠AOC = (3x - 100°)
  • ∠BOD = (200° - 2x)

To find :-

  • value of x ?

Solution :-

we know that, when two lines cross, the angles at intersection point opposite to each other are equal by vertically opposite angles.

Given that, Lines AB and CD intersect at O.

So,

∠AOC = ∠BOD ( vertically opposite angles. )

Putting values we get,

→ (3x - 100°) = (200° - 2x)

→ 3x + 2x = 200 + 100

→ 5x = 300

Dividing both sides by 5,

→ x = 60° . (Ans.)

Hence, value of x is 60° .

Answered by allanpaul9112006
1

Answer:

answer is 6

Step-by-step explanation:

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