Please give this theoram in short. Soon n. Assume
tat some point
line ' say
are internal an
•rallel lines .W
mgles formed by
a.MC -
ey are the sum
cutting t
W. It now foll
'btain ZMSL
ra•ght lines
Stinct lines.
re diffe
penne' are eut by • then
each pair o
Given: and two a
intersecting Wii in Land in M. Pig.
TO prove: and Z I ZS-
internal angles on the same side the
transversal cutting the parallel
AB and know that
Z3• 180•
But and ./_S are the adjacent angles
formed by the ray MP standing on the
line Hence We also know that
180'.
Comparing, we see that z3 z5.
Again observe that Z2 Z3 180' • Z84 ZS. Using L3— Z5, we
22 = us.
We also observe that Z 23, since they are vertically opposite
angles. Using this with = Z5, we conclude that Z'.
Thus the pair Zl. ZS of corresponding angles are equal.
Similarlv we can prove 12 = 26, L8 and L3 1-7, Ll = Ll, L4— L6.
