Question

Draw two lines cut by a transversal. Draw parallel lines cut by a
transversal (as given in the figures below). Find the sum of
a
and
b
in both cases. What do you infer from this?
Draw two lines cut by a transversal. Draw parallel lines cut by a
transversal (as given in the figures below). Find the sum of
a
and
b
in both cases. What do you infer from this?
Draw two lines cut by a transversal. Draw parallel lines cut by a
transversal Find the sum of
a
and
b

Answer 1

Given  :  Draw parallel lines cut by a  transversal :

To Find :  relation between angles formed

Solution:

Transversal line : A line which passes through two lines in the same plane at two distinct points.

The lines in the same plane which do not intersect each other are called parallel lines.

Parallel lines are represented by ||  symbol

Draw parallel lines cut by a  transversal :

Properties of angles formed by transversal line  with two parallel lines :  

• Corresponding angles are congruent.  

• Alternate angles are congruent.  ( Interiors & Exterior  both )  

• Interior angles are supplementary. ( adds up to 180°)  

if a & b are interior angles

then sum of a + b = 180°

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