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9. 18 10. 15 years 11. 1 12. 240, 120, 60 Quick Check
3 Tiles on floor, Tables, chairs, bricks in a wall
Brain Sizzlers Quick Check
63 Since p cuts both the lines at same point, p is not a transversal.
Life Skills Quick Check
Boys = 45, Girls = 42 (a) Corresponding angels (b) Alternate interior angles
Chapter Assessment (c) Pair of interior angles on the same side of transversal
A. 1. (d) 2. (b) 3. (d) 4. (c) 5. (a) 6. (c) (d) Corresponding angles (e) Alternate interior angles
B. 1. (a) 2. (a) 3. (a) (f) Linear pair angles
C. (a) – (iv) (b) – (i) (c) – (v) (d) – (ii) (e) – (iii) Practice Time 7B
D. 1. 19 2. 3 3. 0 4. 75 5. −b 1. (a) Adjacent angles (b) Vertically opposite angles
a (c) Alternate angles (d) Alternate angles
E. 1. (a) 30 – x (b) 2000x + (30-x)1000 (e) Corresponding angles (f) Vertically opposite angles
(c) 1000x + 30000 = 52000 (d) x = 22 (e) 22, 8 2.
2. 15 years 3. Length = 12, breadth = 10 4. `48000 (a) ∠BEF + ∠CFE = 180° (interior angles)
(b) Corresponding angles, ∠PEA = ∠EFC = 110°
5. `425 6. 3
3. ∠1 = ∠3 = ∠5 = ∠7 = 55°
7. ∆= 28 , ∗= 16 ∠2 = ∠4 = ∠6 = ∠8 = 125°
3 3 4. x = 20 5. x = 45°, y = 35°, z = 100° 6. 396°
8. Weight of Circle = 10 kg, weight of each square = 6 kg 7. 300° 8. 114°, 66°
9. (a) 30 years (b) 38 years (c) 58 years (d) 28 years 9. (a) x = 50° (b) x = 130°
10. (a) x = 30°, y = 60°, z = 90°
Chapter 7: Lines and Angles (b) x = 40°, y = 90°, z = 50°
Let’s Recall (c) x = 50°, y = 20°, z = 110°
1. (a) (iii) (b) (ii) (c) (iii) (d) x = 100°, y = 60°, z = 40°
Maths Connect
2. (a) 3, C, A and B (b) 3, CA , AB and CB
3. ∠AOD, ∠BOD, ∠COD, ∠AOC, ∠BOC, ∠AOB Player 4, Player 4
4. (a) - (iii) (b) - (v) (c) - (vi) (d) - (vii) (e) - (i) (f) - (ii) Brain Sizzlers
(g) - (iv) 100°, 80°
Quick Check Chapter Assessment
Edge of a book, pen, pencil, table edges, ruler, electric wire, window A. 1. (b) 2. (c) 3. (a) 4. (d)
frames, railway track, edges of a mobile phone, garden hose B. 1. (a) 2. (b) 3. (b)
Think and Answer C. (a) - (ii) (b) - (iv) (c) - (v) (d) - (i) (e) - (iii)
1. Yes 2. No 3. No D. 1. Parallel lines
Think and Answer 2. Arm, interior points 4. 60° 5. 180°
3.
Complementary angles
Supplementary angles E. 1. 45°, 75° 2. ∠A = 125°, ∠B = 55° 3. 11°, 41°
Practice Time 7A 4. 30° 5. 89°, 91° 6. 54°
1. (a) Supplementary (b) Complementary 7. (a) 30° (b) 105° (c) 75° (d) 75°
(c) Supplementary (d) Supplementary 8. x = 60°, y = 120°, z = 60°
(e) Supplementary (f) Complementary 9. (a) 200 m (b) 120 m
1° (c) All right angles
2. (a) 68° (b) 74 (c) 47° (d) 57.5°
2
3. (a) 97° (b) 71° (c) 143° (d) 36° Unit Test – 2
4. (a) Adjacent angles: ∠OPR and ∠RPA, ∠RPA and ∠APQ, A. 1. (a) 2. (b) 3. (d) 4. (b) 5. (b)
∠APQ and ∠QPO, ∠QPO and ∠OPR, 6. (a) 7. (d) 8. (b) 9. (a) 10. (d)
∠OQP and ∠PQB, ∠PQB and ∠BQS, 1 n –7
33
∠BQS and ∠SQO, ∠SQO and ∠OQP, B. 1. tq 2. m 3. 3 4. –3p 5. (18x + 2y) units
Linear Pair: All the adjacent angles are linear pair angles C. 1. F 2. T 3. T 4. F 5. F
Vertically opposite angles: ∠RPA and ∠OPQ, ∠APQ and ∠OPR, ∠OQP D. 1. (a) 108° 2. (a) 4500 (b) 25x y
4 3
and ∠BQS, ∠BQP and ∠SQO
(b) Adjacent angles: ∠1 and ∠2, ∠2 and ∠3, ∠3 and ∠4, 3. 66°, 114° 4. k = 14 5. `(7xy + 2xy – 5)
2
3
∠4 and ∠1, ∠5 and ∠6 6. 14p + 8q +17pqr 7. 3
Linear Pair: All the adjacent angles are linear pair angles
Vertically opposite angles: ∠1 and ∠3, ∠2 and ∠4 Chapter 8: The Triangle and its properties
(c) Adjacent angles: ∠1 and ∠2, ∠2 and ∠3, ∠3 and ∠4,
∠4 and ∠1 Let’s Recall
Linear Pair: All the adjacent angles are linear pair 1. Triangle 2. Three, three
Vertically opposite angles: ∠1 and ∠3, ∠4 and ∠2 3. Scalene triangle 4. Equilateral triangle
(d) Adjacent angles: ∠x and ∠y, ∠y and ∠z, ∠z and ∠w, 5. Right angle triangle.
∠w and ∠x Think and Answer
Linear Pair: ∠z and ∠y, ∠x and ∠w,
Vertically opposite angles: There are no vertically opposite angles. No
5. 22.5°, 67.5° 6. 78°, 102° 7. 36° 8. 60° Think and Answer
9. (a) x = 29 (b) x = 9 10. 122°, 302° 1. No 2. No 3. Yes

361 Answers