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Class 7 Exam > Class 7 Notes > Mathematics (Maths) Class 7 > Worksheet Question & Answers : Lines and Angles

Lines and Angles Class 7 Worksheet Maths Chapter 6

Ques 1: (a) Complementary angle of 65° is .......................
(b) Supplementary angle of 45° is .........................
(c) If line AB||CD and LM is transversal, sum of two interior angles on the same side of transversal is equal to ......................
(d) An angle is formed by the intersection of ...........................

View Answer

Ans: (a) 25°
(b) 135°
(c) 180°
(d) Two lines or two surfaces

Ques 2: In the figure, identify the pairs of corresponding angles.

View Answer

Ans: ∠1 & ∠ 5, ∠2 & ∠6, ∠4 & ∠8, ∠3 & ∠7

Ques 3: An angle is greater than 45°. Its complement will be:
(a) Less than 45°
(b) Equal to 45°
(c) Greater than 45°
(d) None of these

View Answer

Ans: (a)

Ques 4: State true of false:
(a) If measure fo an angle is 90° then its supplement angle will be greater than 90°.
(b) Two obtuse angles form a linear pair.
(c) Two acute angles form a linear pair.
(d) If two adjacent angles are complementary they form a right angle.

View Answer

Ans: (a) False
(b) False
(c) False
(d) True

Ques 5: In the figure, the arms of two angles are parallel.
If ∠PQR = 70°, then find
(i) ∠LGR
(ii) ∠LMN

View Answer

Ans: (i) ∠LGR = 70°
(ii) ∠LMN = 70°

Ques 6: Indicate two pairs of angles which are:
(i) Vertically opposite angles
(ii) Linear pairs

View Answer

Ans. (i) ∠a & ∠d
(ii) ∠a & ∠e, ∠e & ∠d

Ques 7: In the following figure, is ∠x is adjacent to ∠y?
Give reason.

View Answer

Ans: No. because vertex is not common

Ques 8: Find the angle:
(i) Which is equal to its complement.
(ii) Which is equal to its supplement.

View Answer

Ans. (i) 45°
(ii) 90°

Ques 9: In the given figure, decide a is parallel to b:
(i)

(ii)

(iii)

View Answer

Ans. (i) Yes
(ii) No
(iii) Yes

Ques 11: State the property that is used in each of the following statements:
(i) If l || m, then ∠4 = ∠8
(ii) If ∠1 = ∠7, then l || m
(iii) If ∠3 + ∠8 = 180°, then l||m

View Answer

Ans. (i) Correspondign angles
(ii) Corresponding & vertically opposite angles
(iii) Linear Pair

Ques 11: Find the value of y in each of the following figure if a || b:
(i)

(ii)

(iii)

View Answer

Ans: (i) y = 60°
(ii) y = 60°
(iii) y = 130°

Ques 12: In the following figure name the following pairs of angles:
(i) Obtuse vertically opposite angles.
(ii) Adjacent complement angles.
(iii) Euqal supplementary angles.
(iv) Unequal supplementary angles.
(v) Adjacement angles that do not form a linear pair.

View Answer

Ans. (i) ∠POS & ∠QOR
(ii) ∠QOP & ∠POT
(iii) ∠QOT & ∠TOS
(iv) ∠POQ & ∠QOR, ∠POQ & ∠POS
(v) ∠TOS & ∠SOR, ∠POQ & ∠POT, ∠POT & ∠TOS

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FAQs on Lines and Angles Class 7 Worksheet Maths Chapter 6

1. What are the different types of angles in geometry?

Ans. In geometry, the different types of angles include acute angles (less than 90 degrees), right angles (exactly 90 degrees), obtuse angles (more than 90 degrees but less than 180 degrees), straight angles (exactly 180 degrees), and reflex angles (more than 180 degrees).

2. How can you determine whether two lines are parallel or perpendicular?

Ans. Two lines are parallel if they never intersect and have the same slope. Two lines are perpendicular if the product of their slopes is -1.

3. What is the sum of interior angles in a triangle?

Ans. The sum of interior angles in a triangle is always 180 degrees.

4. How can you find the measure of an angle using a protractor?

Ans. To find the measure of an angle using a protractor, place the center of the protractor over the vertex of the angle and align the baseline of the protractor with one side of the angle. The measure of the angle is read where the other side of the angle intersects the protractor scale.

5. What is the relationship between alternate interior angles and corresponding angles?

Ans. Alternate interior angles are equal in measure when two parallel lines are cut by a transversal. Corresponding angles are also equal in measure when two parallel lines are cut by a transversal.

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