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  • 10-05-2024
  • Mathematics
Answered

Lines A and B are parallel.

Find the measure of La.

A+

B+

a

107°

mza =

=

[ ? ] °

Lines A and B are parallel. Find the measure of La. A+ B+ a 107 mza = = ? class=

Verified Answer :

ghulemanju1987
ghulemanju1987 ghulemanju1987
  • 10-05-2024

Answer:

From the figure, we understand that

∠

1

and

∠

3

together form a straight line.

Thus,

∠

1

+

∠

3

=

180

0

⇒

35

0

+

∠

3

=

180

0

⇒

∠

3

=

145

0

Now, since

l

and

m

are parallel lines cut by transversals

s

and

t

,

∠

3

an

∠

4

are corresponding angles.

We know that corresponding angles are equal. Thus

∠

4

=

∠

3

=

145

0

Similarly

∠

2

an

∠

4

are corresponding angles.

Thus

∠

2

=

∠

4

=

145

0

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