Get premium membership and access questions with answers, video lessons as well as revision papers.
A pentagon = 5 sides
It has 5 - 2 = 3 triangles
Sum of interior angles is
= 180 x 3 = 540o
3x = 540 - 240
3x = 300;
x = 100
Each angle is 100o
johnmulu answered the question on June 9, 2017 at 12:56
- The figure below shows part of a regular polygon not drawn to scale. (Solved)
The figure below shows part of a regular polygon not drawn to scale.
Determine the number of sides the polygon has.
Date posted: June 9, 2017. Answers (1)
- Find the sum of interior angles of a regular polygon with 18 sides. (Solved)
Find the sum of interior angles of a regular polygon with 18 sides.
Date posted: June 9, 2017. Answers (1)
- The angles of a quadrilateral are 3xo, 2xo, (x+54)o and 2(x-7)o. Find the smallest angle of the polygon. (Solved)
The angles of a quadrilateral are 3xo, 2xo, (x+54)o and 2(x-7)o. Find the smallest angle of the polygon.
Date posted: June 9, 2017. Answers (1)
- In the figure below AB is parallel to DE, angle ABD = 30o and angle DCE = 70o. Giving reasons, find angle:(Solved)
In the figure below AB is parallel to DE, angle ABD = 30o and angle DCE = 70o. Giving reasons, find angle:
(i) CDE
(ii) CEF.
Date posted: June 9, 2017. Answers (1)
- In the figure below, ABCD is a cyclic quadrilateral and BD is diagonal. EADF is straight line, CDF = 68o, BDC = 45o and BAE = 98o(Solved)
In the figure below, ABCD is a cyclic quadrilateral and BD is diagonal. EADF is straight line, CDF = 68o, BDC = 45o and BAE = 98o
Calculate the size of
(a) CBD (b) ABD
Date posted: June 9, 2017. Answers (1)
- In the figure below, AB is parallel to DE. DE bisectors angle BDG and DCF = 60o and CFG = 110o.
(Solved)
In the figure below, AB is parallel to DE. DE bisectors angle BDG and DCF = 60o and CFG = 110o.
Find (a) CDF (b) ABD
Give reasons for your answer.
Date posted: June 9, 2017. Answers (1)
- In the figure below, O is the centre of the circle and OAC = 38o. Find (Solved)
In the figure below, O is the centre of the circle and OAC = 38o. Find 
Date posted: June 9, 2017. Answers (1)
- Find the value of a and b in (Solved)
Find the value of a and b in
Date posted: June 9, 2017. Answers (1)
- Find the value of x in the figure below. (Solved)
Find the value of x in the figure below.
Date posted: June 9, 2017. Answers (1)
- Find the value of p and y in the figure below. (Solved)
Find the value of p and y in the figure below.
Date posted: June 9, 2017. Answers (1)
- The opposite angle of a cyclic quadrilateral are (5x + 40)o and (3x - 20)o respectively. Find the difference between the two angles. (Solved)
The opposite angle of a cyclic quadrilateral are (5x + 40)o and (3x - 20)o respectively. Find the difference between the two angles.
Date posted: June 9, 2017. Answers (1)
- The three angles of a triangle are (x-20)o, (4x-15)o and (2x+5)o. Find the difference between the largest and the smallest. (Solved)
The three angles of a triangle are (x-20)o, (4x-15)o and (2x+5)o. Find the difference between the largest and the smallest.
Date posted: June 9, 2017. Answers (1)
- State the co-ordinates of the points Q, R A, B and C. (Solved)
State the co-ordinates of the points Q, R A, B and C.
Date posted: June 9, 2017. Answers (1)
- A traveller had sterling pounds 918 which he exchanged to Kenya Shillings at the rate of sh 84 per(Solved)
A traveller had sterling pounds 918 which he exchanged to Kenya Shillings at the rate of sh 84 per sterling pound. He did not spend the money as intended. Later, he used the Kenyan Shillings to buy sterling pounds at the rate of Ksh 85 per Sterling pounds at the rate of Ksh 85 per Sterling pound. Calculate the amount in sterling pounds lost in the whole transaction.
Date posted: June 9, 2017. Answers (1)
- Kenyan business man owes U.S dollars 100 000 to a company in the united states of America The Kenyan can either pay through his account in the united kingdom. Which is cheaper and by how much. Give your answer in Kenyan Shillings given that; (Solved)
Kenyan business man owes U.S dollars 100 000 to a company in the united states of America The Kenyan can either pay through his account in the united kingdom. Which is cheaper and by how much. Give your answer in Kenyan Shillings given that;
1 U.S dollar
= 28.74 Shillings
I Sterling pound
= 1.79 U.S dollars
1 Sterling pound
= 50.80 Kenya Shillings
Date posted: June 9, 2017. Answers (1)
- In this question, mathematical tables should not be used. A Kenyan bank buys and sells foreign currencies as shown below; (Solved)
In this question, mathematical tables should not be used. A Kenyan bank buys and sells foreign currencies as shown below;
A Japanese travelling from France arrives in Kenya with 5 000 Euros. He converts all the 5000 Euros. He converts all the 5000 Euros to Kenya Shillings at the bank. While in Kenya he spends a total of sh 289 850 and then converts the remaining Kenya Shillings to Japanese yen at the bank. Calculate the amount in Japanese yen he receives.
Date posted: June 9, 2017. Answers (1)
- During a certain period of the year, the rate were as follows
1 Sterling pound
= Ksh 102.00
1 Sterling pound
= 1.49 US dollar
1 US dollar = Ksh 60.60(Solved)
During a certain period of the year, the rate were as follows
1 Sterling pound
= Ksh 102.00
1 Sterling pound
= 1.49 US dollar
1 US dollar = Ksh 60.60
A school management intended to import textbooks worth sh 500 000 from U.K. It changed the money to sterling pound. Later the management found out that the books were cheaper in U.S. Hence it changed the sterling pounds to dollars. Unfortunately a financial crisis arose and the money had to be reconverted to Kenya Shillings. Calculate the total amount of money the management ended up with.
Date posted: June 9, 2017. Answers (1)
- A commercial bank buys and sells Japanese yen in Ksh at the rates shown below.(Solved)
A commercial bank buys and sells Japanese yen in Ksh at the rates shown below.
Buying Selling
Sh 0.5024 sh. 0.5446
A Japanese tourist at the end of his tour of Kenya was left with sh 300 000 which he converted to Japanese yen through the commercial bank. How many Japanese yen did he get?
Date posted: June 9, 2017. Answers (1)
- A company's lady sells goods worth sh 240 000. From this she earned a commission of sh 4 000.(Solved)
A company's lady sells goods worth sh 240 000. From this she earned a commission of sh 4 000.
(a) Calculate the rate of commission
(b) If she sold goods whose total marked price was sh 360 000 and allowed discount of 2%, calculate the amount of commission she received.
Date posted: June 9, 2017. Answers (1)
- If Maina sells a bag of cabbages for sh 520, he makes a profit. If he had to sell the bag for sh 420 he would make a loss. If the profit is three times the loss, find how much he paid for the bag of cabbage? (Solved)
If Maina sells a bag of cabbages for sh 520, he makes a profit. If he had to sell the bag for sh 420 he would make a loss. If the profit is three times the loss, find how much he paid for the bag of cabbage?
Date posted: June 9, 2017. Answers (1)