# NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2

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Textbook | NCERT |

Board | CBSE |

Category | NCERT Solutions |

Class | Class 7 |

Subject | Maths |

Chapter | Chapter 5 |

Chapter Name | Lines and Angles Ex 5.2 |

Number of Questions Solved | 6 |

## NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2

**NCERT TEXTBOOK EXERCISES**

**Question 1.**

State the property that is used in each of the following statements?

- If a || b, then ∠ 1 = ∠ 5.
- If ∠ 4 = ∠ 6, then a || b.
- If ∠ 4 + ∠ 5 = 180°, then a || b.

**Solution:**

- Corresponding angle property.
- Alternate interior angle property.
- Interior angles on the same side of the transversal are supplementary.

**Question 2.**

In the following figure, identify:

- the pairs of corresponding angles.
- the pairs of alternate interior angles.
- the pairs of interior angles on the same side of the transversal.
- the vertically opposite angles.

**Solution:**

- ∠1, ∠5; ∠2, ∠6; ∠3, ∠7 and ∠4, ∠8 are four pairs of corresponding angles.
- ∠2, ∠8, and ∠3, ∠5 are two pairs of alternate interior angles.
- ∠2, ∠5, and ∠3, ∠8 are two pairs of interior angles on the same side of the transversal.
- ∠1, ∠3; ∠2, ∠4; ∠5, ∠7 and ∠6, ∠8 are four pairs of vertically opposite angles.

**Question 3.**

In the adjoining figure, p || q. Find the unknown angles.**Solution:**

a = 55°, b = 125°, c = 55°, d = 125°, e = 55°, f = 55°.

**Question 4.**

Find the value of x in each of the following figures if l || m.

**Solution:**

**(i)** Since, l || m and t is a transversal.

∴ ∠x = (180° – 110°) = 70° [Corresponding angles, Linear pair]

**(ii)** if l || m and a is a transversal.

Then, ∠x = 1000 [Corresponding angles]

**Question 5.**

In the given figure, the arms of two angles are parallel. If ∠ ABC = 70°, then find

**Solution:**

- 70°
- 70°

**Question 6.**

In the given figures below, decide whether l is parallel to m.

**Solution:**

- l is not parallel to m
- l is not parallel to m
- l || m
- l is not parallel to m

## NCERT Solutions for Class 7 Maths Chapter 5 Lines and Angles Ex 5.2 PDF

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