NCERT Class 7 Mathematics Solutions: Chapter 5 – Linear and Angles Exercise 5.2 Part 2

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Undertsnading of Alternate interior Angles

Undertsnading of Alternate Interior Angles

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1. In the adjoining figure, . Find the unknown angles.

Given Adjoining Angle

Answer:

Given,

and cut by a transversal line.

[Linear pair]

……………..eq(i)

Now,

[Vertically opposite angle]

Also,

[Alternate interior angles]

[Linear pair]

[From eq (1)]

Now,

[Vertically opposite angle]

So,

2. Find the value of in each of the following figure if .

Two Parallel Line L and M

Two Parallel Line L and M

Two Parallel Line L and M Intersect of Two Parallel Line a and B

Answer:

(i) Given,

is transversal line.

Interior vertically opposite angle between lines

[Supplementary angles]

(ii) Given,

is transversal line.

[Interior opposite angles]

(iii) Given,

[Corresponding angles]