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Question

Explain the different properties of lines and angles.

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Solution

I. Lines and Angles

Given two parallel lines, 1) Corresponding angles =1 and 3 are equal.

2 and 4

6 and 8

5 and 7

i.e. 1=3.2=4 and so on.

II) Alternate interior 8=6 and 4 are equal.

5 and 3

i.e. 6=4 and 5=3

3) Alternate angles on same side of the transversal sum upto 180^\circ

i.e. 5+4=180

6+3=180

4) Vertically opposite s are also equal

i.e. 2=6,1=5 and so on

II Sum of angles of a triangle is 180

1+2+3=180

III Exterior angle property [4=1+2]

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