The interior angles of a hexagon are 2x + 5, 4x - 5, 4x + 5, 3x, 4x - 20 and 2x. Find the value of x. (3mks)
![]() The exterior angle of regular polygon is an eighth of the interior angle. How many sides does the regular polygon have? (3mks)Worked Answer:
![]() Form 2 Mathematics
The figure below shows two triangles, ABC and BCD with a common base BC = 3.4 cm. AC = 7.2 cm, CD = 7.5 cm and ABC = 90°.
The area of triangle ABC = Area of triangle ∠BCD.
Calculate, correct to one decimal place:
(a) the area of triangle ABC; (b) the size of ∠BCD; (c) the length of BD; (d) the size of ∠BDC. ![]() Form 1 MathematicsThe size of each interior angle of a regular polygon is five times the size of the exterior angle. Find the number of sides of the polygon. ![]() Form 2 MathematicsThe figure below shows a model of a roof with a rectangular base PQRS PQ = 32 cm and QR = 14 cm. The ridge XY = 12 cm and is centrally placed. The faces PSX and QRY are equilateral triangles M is the midpoint of QR. Calculate (a) (i) the length of YM (ii) The height of Y above the base PQRS (b) The angle between the planes RSXY and PQRS (c) The acute angle between the lines XY and QS ![]() Form 1 Mathematics
Given that the exterior angle of a regular hexagon is x. find the size of each interior angle of the hexagon.
![]() Form 2 Mathematics
The sum of interior angles of a regular polygon is 24 times the size of the exterior angle.
(a) Find the number of sides of the polygon. (b) Name the polygon ![]() Form 2 Mathematics
A piece of wire is bent into the shape of an isosceles triangle. The base angles are each 48° and the perpendicular height to the base is 6 cm. Calculate,
correct to one decimal place, the length of the wire. ![]() Form 1 Mathematics
The size of an interior angle of a regular polygon is 1560.Find the number of sides of the polygon.
![]() Form 3 Mathematics
In the figure below OS is the radius of the circle centre O. Chords SQ and TU are extended to meet at P and OR is perpendicular to QS at R. OS = 61cm, PU=50cm, UT=40cm and PQ =30cm.
a) Calculate the lengths of:
i) QS: ii) OR c) Calculate, correct to 1 decimal place: i)The size of angle ROS: ii) The length of the minor arc QS. ![]() Form 1 Mathematics
The sum of interior angles of a regular polygon is 18000. Find the size of each exterior angle
![]() Form 2 Mathematics
The area of a sector of a circle, radius 2.1cm, is 2.31cm^2. The arc of the sector subtends an angle θ, at the centre of the circle. Find the value of θ in radians to
2 correct decimal places ![]() Form 2 Mathematics
A triangle ABC is such that AB = 5 cm, BC = 6 cm and AC = 7 cm.
a) Calculate the size of angle ACB, correct to 2 decimal places. b) A perpendicular drawn from A meets BC at N. calculate the length AN correct to one decimal place. ![]() Form 1 Mathematics
The interior angles of an octagon are 2x,1/2?, (x + 40)0, 1100, 1350, 1600, (2x + 10)0 and 1850.
Find the value of x. ![]() Form 2 Mathematics
In the figure below, PQ is parallel to RS. The lines PS and RQ intersect at T. RQ = 10 cm, RT:TQ = 3:2, angle PQT = 40° and angle RTS - 80°.
(a) Find the length of RT.
(b) Determine, correct to 2 significant figures: (i) the perpendicular distance between PQ and RS; (ii) the length of TS. (c) Using the cosine rule, find the length of RS correct to 2 significant figures. (d) Calculate, correct to one decimal place, the area of triangle RST. ![]() |
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