Heya !!
Prove the theorem - 6.2
If a transversal intersects two Parallel Lines then each pair of alternate interior angles is equal.
Help needed !! Thank you in advance.
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Heya !!
Prove the theorem - 6.2
If a transversal intersects two Parallel Lines then each pair of alternate interior angles is equal.
Help needed !! Thank you in advance.
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To prove :- angle BQR = angle CRQ (alternate interior angles are equal)
We will use the theorem that :-
Corresponding angles are equal and
Vertically opposite angles are equal.
So, in the figure,
angle AQP = angle CRQ (corresponding angles)
angle AQP = angle BQR (vertically opposite angles)
Hence, angle BQR = angle CRQ
(Things which are equal to the same things are equal to each other)
Hence, Alternate interior angles are equal