इयत्ता 8 वी गणित समांतर रेषा व छेदिका संगत कोन अंतर कोन व्यतक्रम कोन सेमी इंग्लिश parallel lines and

इयत्ता 8 वी गणित समांतर रेषा व छेदिका संगत कोन अंतर कोन व्यतक्रम कोन सेमी इंग्लिश parallel lines and
The lines in the same plane which do not intersect each other are called parallel lines. '
'line l || line m'.
Transversal
If a line intersects given two lines in two distinct points then that line is called ransversal of those two lines
Angles made by a transversal
Corresponding angles
Corresponding angles
IIf the arms on the transversal of a pair of angles are in the same direction and the other arms are on the same side of the transversal, then it is called a pair of corresponding angles.
Interior angles:-
A pair of angles which are on the same side of the transversal and inside the given lines is called a pair of interior angles.
pairs of corresponding angles in the
given figure -
AMP and MNR
PMN and RNT
AMQ and MNS
QMN and SNT
pairs of interior angles in the given
figure -
PMN and MNR
QMN and MNS
Alternate angles
pairs of interior angles in the given
figure -
PMN and /MNR
angle QMN and angle MNS
Pairs of angles which are on the opposite sides of transversal and their arms on the transversal show opposite directions is called a pair of alternate angles.
In the figure, there are two pairs of interior alternate angles and two pairs of exterior alternate angles.
Interior alternate angles
Angles at the inner side of lines
angle PMN and angle MNS
QMN and angle RNM
Exterior alternate angles
Angles at the outer side of lines
angle AMP and angle TNS
angle AMQ and angle RNT