Lines, Angles and Quadrilaterals (IMO Mathematics Olympiad Class 9): Questions 54  58 of 126
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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 

Question number: 57
» Lines, Angles and Quadrilaterals
Question
XYZ is an equilateral triangle for side . J, K and L are midpoints of XY, YZ and XZ respectively. The area of triangle JKL is (in ) ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 58
» Lines, Angles and Quadrilaterals
Question
The supplementary angle of an angle is one fifth of itself. Then the angle of its supplement are________
Choices
Choice (4)  Response  

a.  150˚, 30˚ 

b.  160˚, 20˚ 

c.  160˚, 130˚ 

d.  150˚, 45˚ 
