NCERT Class 7 Mathematics Solutions: Chapter 5 –Linear and Angles Exercise 5.2 Part 1

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Corresponding angle a and e

Corresponding Angle

Corresponding angle a and e

1. State the property that used in each of the following statements:

Given Figure of Parallel Line

Given figure of parallel line, a and b also angle

(i) If , then

(ii) If

(iii) If

Answer:

(i) Given, , then [Corresponding angles property]

If two parallel lines are cut by a transversal, each pair of corresponding angles are equal in measure.

(ii) Given, [Alternate interior angles property]

When a transversal cuts two lines such that pairs of alternate interior angles are equal, the lines have to be parallel.

(iii) Given, , then [Co-interior Angles]

When a transversal cuts two lines, such that pairs of interior angles on the same side of transversal are supplementary, the lines have to be parallel.

2. In the adjoining figure, identify:

The Parallel Line and Corresponding Angles

The parallel line and corresponding angles

(i) The pairs of corresponding angles

(ii) The pairs of alternate interior angles

(iii) The pairs of interior angles on the same side of the transversal

(iv) The vertically opposite angles

Answer:

(i) The pairs of corresponding angles:

(ii) The pairs of alternate interior angles are:

(iii) The pair of interior angles on the same side of the transversal:

(iv) The vertically opposite angles are: