- The size of an interior angle of a rectangular polygon is 6 ½ times that of its exterior angle.

Determine the number of sides of the polygon. - The sum of interior angles of two regular polygons of sides n and n + 2 are in the ratio 3:4.

Calculate the sum of the interior angles of the polygons with n sides - The area of a rhombus is 60cm2. Given that one of its diagonals is 15cm long. Calculate the perimeter of the rhombus.
- In the figure below AE is parallel to BD. BC = BD, AB = 7.25cm, AE = 15.25cm and ED = 5.25 cm

Find the perimeter of the figure . - The figure below shows a trapezium ABCD in which side AB is perpendicular to both AD and BC. Side AD=17cm, DC=10cm
- What is the length of side AB
- Find the value of cos(90
^{o }– x^{o}) in the form^{a}/_{b}where a and b are integers

- The size of an interior angle of a regular polygon is 3x
^{o }while its exterior angle is (x-20)^{o}.

Find the number of sides of the polygon -

In the figure above, angle a is half the sum of the other angles. Evaluate the triangle - The sum of the interior angles of an n-sided polygon is 1260
^{o}. Find the value of n and hence deduce the polygon - Giving reason, find the angle marked n
- Solve for y in the equation 125
^{y+1 }+ 5^{3y }= 63^{0} - The interior angle of a regular polygon is 108o larger than the exterior angle. How many sides has the polygon?
- The interior angle of a regular polygon is 4 times the exterior angle. How many sides has the polygon
- In the figure below ABCD is a trapezium with DC parallel to AB. DC = 5cm, CB = 4cm, BD = 8cm and AB = 10cm

Calculate:- the size of angle BD
- the area of triangle ABD

- In the figure below, DE bisects angle BDG and AB is parallel to DE. Angle DCF = 60
^{o }and angle CFG = 100^{o}Find the value of angle:-- CDF
- ABD

- The size of an interior angle of a regular polygon is 4x
^{o}, while its exterior angle is (x – 30)^{o}

Find the number of sides of the polygon - The sum of interior angles of a polygon is 1440
^{o}. Find the number of sides of the polygon hence name the polygon - In the figure below PQ is parallel to RS. Calculate the value of x and y
- The interior angle of a n-sided regular polygon exceeds its exterior angle by 132
^{o}.Find the value of n - The sum of angles of a triangle is given by the expression (2a+b)
^{o}while that of a quadrilateral is given by (13a - b)^{o}. Calculate the values of a and b (4 mks) - The figure below represents a quadrilateral ABCD. Triangle ABX is an equilateral triangle. If <ADX = 50
^{o}, find <AXD with <BAD = 90^{o}(2 mks) - Wanjiku is standing at a point P, 160m south of a hill H on a level ground. From point P she observes the angle of elevation of the top of the hill to be 67
^{o}- Calculate the height of the hill (3 mks)
- After walking 420m due east to the point Q, Wanjiku proceeds to point R due east of Q, where the angle of elevation of the top of the hill is 35
^{o}. Calculate the angle of elevation of the top of the hill from Q (3 mks) - Calculate the distance from P to R (4 mks)