Complete the following — task. Mathematics CBSE, Class 9.

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Answer variants:

bisected angles

$\angle PON$

common

angle bisector

corresponding pair of sides

$\angle OPN$

$OM$ is the angle bisector of

$\angle POQ$ .

$NP$ and

$NQ$ meet

$OA$ and

$OB$ respectively at

$69^\circ$ . Complete the missing fields to prove that the triangles

$OPN$ and

$OQN$ are congruent to each other.

Proof:

We know that

$OM$ is the

Hence,

$= \angle QON$ .

[Since the angles mentioned in the previous step are

]

Now, let us consider the triangles OPN and OQN.

$= \angle OQN =$

$69^\circ$ [Given]

Also,

$ON$ is

to both the triangles

$OPN$ and

$OQN$

Here, one

and two corresponding pair of angles are equal.

Thus by congruence criterion,

$OPN$

$\cong$

$OQN$ .

Did you find an error?

6. Complete the following