Question

two lines AB and CD intersect at a point o IF triangle AOC=54degree, find the value of all other angles

Answer 1

Answer:

126°, 54°, 126°, 54° will be the angles

Step-by-step explanation:

Here two lines AB and CD intersect at O.

Given that ∠AOC = 54°.

Now

We know that ∠AOC and ∠AOD are forming linear pair.

So,

∠AOC + ∠AOD = 180°.

= 54° + ∠AOD = 180°.

∠AOD = 180° - 54°.

∠AOD = 126°.

Now we know that ∠AOC and ∠BOD are vertically opposite angles.

And we also know that vertically opposite angles are equal.

So,

∠AOC = ∠BOD = 54°.

Also ∠AOD and ∠BOC are also vertically opposite.

So,

∠AOD = ∠BOC = 126°.

Therefore the angles are 54°, 126°, 54° and 126°.

Hope it helps.

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