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2. 1111 × 1111 = 1234321 Quick Check
111111 × 111111 = 12345654321 1. (a) ∠AOY; ∠XOY is included in ∠AOY
1111111 × 1111111 = 1234567654321 (b) ∠AOC, ∠XOY is included in ∠AOC
11111111 × 11111111 = 123456787654321 (c) ∠YOB and ∠YOC both are the same angle.
Palindrome numbers, Mahaviracharya 2. ∠XOY
7 Practice Time 2D
3 1 4 1. (a) 40° (b) 50° (c) 90°
3. Truncated Icosahedron 4. 4. (a) 35° (b) 94° (c) 55° (d) 125° (e) 31°
5 8 6 5. 18° 6. Sum of ∠1 + ∠2 + ∠3 = 180° in each case.
Quick Check
2
1. OR 2. ∠TOQ, OR
Chapter 2: Lines and Angles Practice Time 2E
Let’s Recall A
4. 21st June A
Quick Check 1. (a) (b)
1. (a) Ray (b) Plane (c) Line segment (d) Point

2. Line: (a) no (b) infinite (c) cannot (d) AB 80° B 44° C
Line segment: (a) two (b) finite (c) can B C
(d) AB

Ray: (a) one (b) infinite (c) cannot (d) AB A 187°
Practice Time 2A (c) (d)
1. (b) 2. (b) 3. (c) 125° B A
4. (a) False (b) True (c) True (d) False B C C

5. (a) AE , FE (b) AE (c) CO

C 195°

(d) AE , CO and DE , FE (e) 156° (f)
6. (a) True (b) True (c) True (d) False A C B A
(e) False (f) False (g) True B
7. LM , MP , PQ , QR ; Point L and point R

8. TA , TB , NB 3. 60°

9. (a) GF , NM (b) GE , EF , GF , ED , DC , CE , BC , AB , DO , MN 40° 40°

(c) EF , GF , FG , EG , BA , DC , DO , NM , MN
10. (a) Yes, PQ intersects CD at 90°. Quick Check

1. (a) Acute (b) Right (c) Obtuse (d) Reflex

(b) EF , CD ; CD , AB ; AB , EF (c) CD ; KL , MN ; PQ 2. Acute angle: ∠EAB; Obtuse angles: ∠ABC, ∠AED; Right angle: ∠DCB
Enrichment
11. (a) (b) 1. No 2. Yes 3. Yes 4. Yes 5. Yes
Practice Time 2F
1. Answer may vary
(c) (d) (a)
Practice Time 2B (b)
1. (a) Shortest side: LM, longest side: LN
(b) Shortest side AD, longest side: BC
+
2. AB = BC = CD 4. Yes, AC = AB BC (c)
5. (a) AC (b) DR (c) QR (d) EQ
Practice Time 2C 2. (a) True (b) False (c) True (d) False (e) False
3.
(d) Complete
(c) Right
(b) Acute
(a) Obtuse
1. (a) ∠BAE, ∠AED, ∠EDC, ∠DCB, ∠CBA (e) Reflex (f) Obtuse (g) Straight (h) Acute
(b) ∠1, ∠2, ∠3, ∠CBE, ∠DBA, ∠ABC 1
4. (a) 1 (b) (c) 3
B 2 1 4 4
5. (a) (b) 1 6. (a) 2 (b) 1 (c) 1
2. Yes, C lies in the interior of ∠2 also. 4
2 A 7. (a) 2 (b) 3 8. (a) 2 (b) 11
O 1 C 9. (a) 1 (b) 10
P B 10. (a) 90° (b) 30° (c) 180°
11. (a) 60° (b) 120° (c) 30° (d) 120°
P 12. (a) acute angle (b) straight angle
Q
1 1 2 (c) acute angle (d) obtuse angle
3. (a) O (b) A D E (e) straight angle (f) acute angle
2 R C 13. (a) X is midpoint of AC, Y is midpoint of BC, Z is midpoint of AB
Q R (b) p is the bisector of AC and q is the bisector of BC.
S (c) Only p is the perpendicular bisector of AC.
(d) r (e) q
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