91影视

The first statement and reasons will fall in the category of given so the reason for the angles $鈭�2$and $鈭�3$will be 鈥榞iven鈥�.

The angles $鈭�2$and $鈭�3$are present on a straight line so they are supplementary angles then they will form the measurement of $180掳$because supplementary angles are the angles having a measurement of $180掳$if they are added.

Therefore fill the reason with 鈥淎ngle Addition postulate鈥� and reason with $鈭�2+鈭�3=180掳$because angle addition postulate is defining these angles.

Fill the reason with 鈥楧efinition of supplementary angles鈥� and the statement with that 鈥� $鈭�2$and $鈭�1$are also having a supplementary relation between them鈥� for third row.

As the angle 3 is also having a supplementary relation with angle 2 which mean the angles $鈭�1$and $鈭�3$are congruent because they are not supplementary with different angles. Fill the fourth statement with 鈥�$鈭�1鈮�鈭�3$鈥� and the reason with that 鈥淭wo angles can be congruent when they are not supplementary to different angles鈥�.

Use the theorem which is alternate angle theorem according to which two lines will have a parallel relation between them whenever a separate line travels through the parallel lines and the angles formed by them positioned of same side of interior are having a supplementary relation between them so the lines k and n are having a parallel relation between them.

Using all the obtained statements and reasons, make a complete table.