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

UPSKILL MATH PLUS

Learn Mathematics through our AI based learning portal with the support of our Academic Experts!

Learn more

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.