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360 Therefore each exterior angle = 9 = 40 0 Therefore each interior angle = 180 0 – 40 0 = 140 0 . Exercise 1. Find the interior angle of a regular decagon. 2. The interior angle of a regular polygon is 168 0 . How many sides has the polygon? 3. The interior angles of a regular polygon add up to 2340 0 . Find the size of the interior angle. 4. Find the interior angle of a 20-sided regular polygon. 5. The exterior angles of a quadrilateral are z 0 , 2z 0 , 2z 0 and 80 0 . Find the value of z. 6. Find the size of the angles marked with letters. (a) (b) (c) (d) 7. A square has two its sides given as (2x + 12) cm and (x + 20) cm. Calculate its length.
8. One of the large and one of the small angles of a parallelogram are marked 2x and x respectively. Calculate the value of the large angle. 9. Given that one of the angles of a rhombus is 120 0 , calculate the smallest angle between one side and the diagonal. 10. The larger angle formed by the intersection of the diagonals of a rectangle is 150 0 . Calculate the angle between the longer side and the diagonal. 11. The angles of a trapezium are x, 2x, 3x and 4x. Calculate the value of the second smallest angle. 12. The exterior angle of a rhombus is five times the size of the adjacent interior angle. Calculate the value of the smallest and largest angles of the rhombus. 13. A regular polygon has 15 sides. If its interior angle is (x + 36) 0 , calculate the value of x. 14. An irregular pentagon has the following four interior angles: 110 0 , 108 0 , 135 0 , and 152 0 . Determine the value of the exterior angle adjacent to the fifth interior angle.
Page 1 and 2: APPROXIMATIONS Rounding off Example
Page 3 and 4: Significant figures (sf) Significan
Page 5 and 6: Exercise 1. A man in Nairobi receiv
Page 7 and 8: 3. A radio that cost sh. 15 000 was
Page 9 and 10: 1 20000 ×1 2 × 21 Therefore, = sh
Page 11 and 12: 8. A business man had sh. 1 200 000
Page 13 and 14: 2. A dealer marks a price sh. 4 800
Page 15 and 16: (ii) income tax (sh.) 10 100 000 10
Page 17 and 18: (b) Express the total income tax fo
Page 19 and 20: O is at the vertex of the angle, an
Page 21 and 22: Exercise 1. In the figure shown, x
Page 23 and 24: t s 75 0 Solution s and 75 0 are ve
Page 25 and 26: The measurements of the scale drawi
Page 27 and 28: 5. The floor of a school hall is re
Page 29 and 30: (i) Compass bearings On a compass,
Page 31 and 32: N A B 15km S 75 0 A Then we choose
Page 33 and 34: - We measure AB = 4.8cm. But 1cm re
Page 35 and 36: Types of polygons Name Number of si
Page 37 and 38: 50 0 +w +x = 180 0 50 0 + 50 0 + x
Page 39 and 40: (d) (e) Quadrilaterals These are fl
Page 41: n n-2 From the above table we see t

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