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

PUMPA - SMART LEARNING

எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்

Book Free Demo

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.