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LINES, TRIANGLES AND POLYGON

 

PROBLEM 1

 

 

 

 

 

 


In the figure above, find x in terms of a, b and c (U.M.E 1981, Question 17)

 

SOLUTION

 

 

 

 

 

 

 

 

 

PROBLEM 2

 

 

 

 

 

 

 

 

PQ is parallel to RS, calculate the value of x(U.M.E 1981,Question 40)

 

SOLUTION

 

 

 

 

 

 

 

 


 

2x

 
PROBLEM 3

 

 

 

 

 

 

 

 

 

 


The angles marked in the figures above are measured in degrees, find x (U.M.E 1980, Question 45)

 

SOLUTION

S

 
 


PROBLEM 4

 

 

 

 

 

 

 


SOLUTION

 

 

 

 

 

 

 


PROBLEM 5

 

 

 

 

 

 

 

 

 

 

PROBLEM 6

 

 

 

 

 

 

The above figure FGHK is a rhombus. What is the value of angle x (U.M.E 1983, Question 19)

SOLUTION

 

PROBLEM 7

 

 

 

 

 

 

In the figure above PQR is a straight line, find the value of x and y (U.M.E 1983, Question 44)

 

 

PROBLEM 8

 

 

 

 

 

 

 


 

 

SOLUTION

 

 

PROBLEM 9

 

 

 

 

 

 

 


In the figure above, find angle x (U.M.E.1985, Question 49)

 

SOLUTION

 

 

 

 

 

 

 

 

PROBLEM 10

 

 

 

 

 

 

 

 

 

 

 


PROBLEM 11

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

PROBLEM 12

 

 

 

 

 

 

 

 


In the figure above, find the value of X (U.M.E. 1987, Question 36)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

PROBLEM 13