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Answers

2. 74° 5. y = 10°
3. 60° 6. x = 120 , y° = 45°
4. (a) 48° (b) 48°
(c) 84° (d) 42° Exercise 5.8
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5. 32° or 148° 2. 63.4°
6. No. Angle subtended at centre 3. 90 , 90 , 110° ° °
depends on radius 4. (a) 29° (b) 58°
8. 26° (c) 29° (d) 122°

Exercise 5.5 5. 160 m

1. 50° Exercise 5.9
ˆ
ˆ
2. 30°; XPY = XQY 100= ° 1. 7.8 cm
3. x = 15 , 35° ° 2. 3.46 cm
ˆ
4. (a) x = 12° (b) PQS PRS 62= ˆ = ° 3. 4.4 cm
(c) θ = 124°
4. 21.9 m
5. (a) 70° 5. 19 cm
6. (a) x = 15 (b) 40° 6. x = 2
ˆ
7. y = 6, CAD CBD 30= ˆ = ° 3
Exercise 5.10
Exercise 5.6
1. 2 6 cm
1. BAD 120 , CDA 130= ˆ 26 , ABC 93 , ADC 87° ˆ ° = ˆ ° = ˆ ° ° 2. 7.42 cm
Mathematics for Secondary Schools 4. x = 45° ˆ = ° ˆ = ° 5. 23.1 cm
2. 36.4°
3. 9.20 cm
3. x =
=
4. 9.17 cm

5. No. Theorem 5.3 must be satisfied
6. 19.5 cm
6. x =
20 , DAB 80 , BCD 100°
7. 13 cm
Exercise 5.7
Exercise 5.11

1. x =
2. x = 105 , y° 25 , QRS 25 , PTS 75° ˆ = 70 , z° = ° = 70° ˆ = ° 1. x = 115°
3. 110°
3. a = 117 , b° = 126 , c° = 63 ,d° = 117°

4. x = 23° 4. AX = 4cm, BY 5cm, CZ 3cm= =

198 Student\s Book Form Three

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MATHEMATIC F3 SB.indd 198 18/09/2025 10:00:18
MATHEMATIC F3 SB.indd 198