## MCQ Questions for Class 9 Maths Chapter 6 Lines and Angles with Answers

MCQs from Class 9 Maths Chapter 6 – Lines and Angles are provided here to help students prepare for their upcoming Maths exam.

MCQs from CBSE Class 9 Maths Chapter 6: Lines and Angles

**1. Intersecting lines cut each other at:**

a) One point

b) Two points

c) Three points

d) Null

**Answer/Explanation**

Answer: (a)

Explanation: Two lines always intersect each other at one point.

**2. Two parallel lines intersect at:**

a) One point

b) Two points

c) Three points

d) Null

**Answer/Explanation**

Answer: (d)

Explanation: If two lines are parallel to each other, they don’t intersect each other. They meet each other at infinity.

**3. If AB || CD, EF ⊥ CD and ∠GED = 135° as per the figure given below.**

**The value of ∠AGE is:**

a) 120°

b) 140°

c) 90°

d) 135°

**Answer/Explanation**

Answer: (d)

Explanation: Since AB || CD and GE is a transversal.

Given, ∠GED = 135°

Hence, ∠GED = ∠AGE = 126° (Alternate interior angles)

**4. If two lines intersect each other, then the vertically opposite angles are:**

a) Equal

b) Unequal

c) Cannot be determined

d) None of the above

**Answer/Explanation**

Answer: (a)

Explanation: If two lines intersect each other, then the angles formed at the point of intersection are vertically equal.

**5. A line joining two endpoints are called:**

a) Line segment

b) A ray

c) Parallel lines

d) Intersecting lines

**Answer**

(a)

**6. An acute angle is:**

a) More than 90 degrees

b) Less than 90 degrees

c) Equal to 90 degrees

d) Equal to 180 degrees

**Answer**

(b)

**7. A reflex angle is:**

a) More than 90 degrees

b) Equal to 90 degrees

c) More than 180 degrees

d) Equal to 180 degrees

**Answer**

(c)

**8. A straight angle is equal to:**

a) 0°

b) 90°

c) 180°

d) 360°

**Answer**

(c)

**9. Two angles whose sum is equal to 180° are called:**

a) Vertically opposite angles

b) Complementary angles

c) Adjacent angles

d) Supplementary angles

**Answer**

(d)

**10. In the figure below, which of the following are corresponding angle pairs:
**

a) ∠p and ∠q

b) ∠p and ∠w

c) ∠p and ∠x

d) ∠p and ∠z

**Answer**

(b)

**11.** Value of *x* in the figure below is:

a) 20^{o}

b) 40^{o}

c) 80^{o}

d) 160^{o}

**Answer**

(b)

**12.** If two complementary angles are in the ratio 13 : 5, then the angles are:

a) 13*x*^{o}, 5*x*^{o}

b) 25^{o}, 65^{o}

c) 65^{o}, 25^{o}

d) 65^{o}, 35^{o}

**Answer**

(c)

**13.** The diagonals of the rectangle ABCD intersect at O. If ∠COD = 78°, then ∠OAB is:

a) 35^{o}

b) 51^{o}

c) 70^{o}

d) 110^{o}

**Answer**

(b)

**14. **If AB = *x* + 3, BC = 2*x* and AC = 4*x* – 5, then for what value of ‘*x*’, B lies on AC?

a) 2

b) 3

c) 5

d) 8

**Answer**

(d)

**15.** In the given figure, find the value of *x*:

a) 40^{o}

b) 50^{o}

c) 60^{o}

d) 80^{o}

**Answer**

(b)

**16.** In the given figure, if the angles a and b are in the ratio 2 : 3, then angle c is:

a) 90^{o}

b)126^{o}

c) 144^{o}

d) Obtuse angle

**Answer**

(c)

**17. **In the given figure, ∠1 = ∠2 then the measurements of ∠3 and ∠4 are:

a) 58^{o}, 61^{o}

b) 61^{o}, 61^{o}

c) 119^{o}, 61^{o}

d) 119^{o}, 119^{o}

**Answer**

(d)

**18.** In the figure, if *x*, *y* and *z* are exterior angles of ΔABC then *x* + *y* + *z *is:

a) 90^{o}

b) 180^{o}

c) 270^{o}

d) 360^{o}

**Answer**

(d)

**19. **In the figure, *p* || *q*. The value of *x* is:

a) 35^{o}

b) 55^{o}

c) 70^{o}

d) 110^{o}

**Answer**

(b)

**20.** In the given figure, if ∠ AOC = 50° then (∠AOD + ∠COB) is equal to:

a) 100^{o}

b) 130^{o}

c) 140^{o}

d) 260^{o}

**Answer**

(d)

**21.** In the given figure, ABCD is a rectangle in which ∠APB = 100°. The value of *x* is:

a) 40^{o}

b) 50^{o}

c) 60^{o}

d) 70^{o}

**Answer**

(b)

**22.** In the given figure, AB || CD then value of *x* is:

a) 45^{o}

b) 60^{o}

c) 90^{o}

d) 105^{o}

**Answer**

(a)

**23.** In the given figure, PQ || RS and ∠ACS = 127°, ∠BAC is:

a) 50^{o}

b) 53^{o}

c) 77^{o}

d) 107^{o}

**Answer**

(c)

**24.** In figure, AB || ED, the value of *x* is:

a) 26^{o}

b) 36^{o}

c) 54^{o}

d) 62^{o}

**Answer**

(a)

**25.** In the given figure, if AOB is a line then the measure of ∠BOC, ∠COD and ∠DOA respectively are:

a) 36^{o}, 54^{o}, 90^{o}

b) 36^{o}, 90^{o}, 54^{o}

c) 90^{o}, 36^{o}, 54^{o}

d) 90^{o}, 54^{o}, 36^{o}

**Answer**

(a)