In Figure, if
,
and
, find
.
[Hint: Draw a line parallel to ST through point R.]
Solution:
and
(Given)
Construction: Draw line XY parallel to ST through R.
(Construction) and
. (Given)
Therefore,
(If line is parallel to two given lines then two given lines are parallel to each other.)
(Co-interior angles,
)
(Co-interior angles,
)
(Linear pair) (1)
Putting values in equation (1), we get
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