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Standard IX

Mathematics

Euclidean Geometry

In a A B C, i...

Question

In a ΔABC, it is given that AB = AC and the bisectors of ∠B and ∠C intersect at O. If M is a point on BO produced prove that ∠MOC = ∠ABC.

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Solution

It is given that

In,

We have to prove that

Now

(Given)

Thus

........(1)

In, we have

So, {from equation (1)}

Hence Proved.

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In a ΔABC, it is given that AB = AC and the bisectors of ∠B and ∠C intersect at O. If M is a point on BO produced prove that ∠MOC = ∠ABC.

It is given that In, We have to prove that Now (Given) Thus ........(1) In, we have So, {from equation (1)} Hence Proved.

It is given that

In,

We have to prove that

Now

(Given)

Thus

........(1)

In, we have

So, {from equation (1)}

Hence Proved.