# NCERT Class 7 Mathematics Solutions: Chapter 5 – Linear and Angles Exercise 5.2 Part 1 (For CBSE, ICSE, IAS, NET, NRA 2022)

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

(i) If , then

(ii) If

(iii) If

(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:

(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