Lines, Angles and Quadrilaterals (IMO Mathematics Olympiad (SOF) Class 9): Questions 51  56 of 126
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Question number: 51
» Lines, Angles and Quadrilaterals
Question
In the figure line a line b line c. their transversal line t1 and line t2, cut them at point X, Y, Z and J, K, L respectively. Point Y is the midpoint of segment XZ. If find and
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 52
» Lines, Angles and Quadrilaterals
Question
The supplement of an angle is 50 more than six times its complement. Find the measure of the angle
Choices
Choice (4)  Response  

a.  65˚ 

b.  56˚ 

c.  82˚ 

d.  38˚ 

Question number: 53
» Lines, Angles and Quadrilaterals
Question
The angles of a triangle are in the ratio . The triangle is ________
Choices
Choice (4)  Response  

a.  Right 

b.  Acute 

c.  Isosceles 

d.  Scalene 

Question number: 54
» Lines, Angles and Quadrilaterals
Question
The measure of an angle is three times the measure of its supplementary angle. Then the angles are________
Choices
Choice (4)  Response  

a.  28˚, 72˚ 

b.  26˚, 154˚ 

c.  50˚, 100˚ 

d.  45˚, 135˚ 

Question number: 55
» Lines, Angles and Quadrilaterals
Question
In the given figure . Which of the following must be true?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 56
» Lines, Angles and Quadrilaterals
Question
If the bisectors of two adjacent angles A and B of a quadrilateral ABCD intersects at a point O such that , then value of k is ________
Choices
Choice (4)  Response  

a.  3 

b.  4 

c.  5 

d.  2 
