Lines, Angles and Quadrilaterals (IMO Mathematics Olympiad Class 9): Questions 21  25 of 126
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Question number: 21
» Lines, Angles and Quadrilaterals
Question
In figure PQ, RS and TU are three lines concurrent at A. If ∠PAU = 6y˚, ∠QAS = 4y˚ and ∠RAT = 2y˚, the value of y is________
Choices
Choice (4)  Response  

a.  15 

b.  25 

c.  30 

d.  20 

Question number: 22
» Lines, Angles and Quadrilaterals
Question
The complementary angle of an angle is one fourth of itself. Then the angle of its complement are________
Choices
Choice (4)  Response  

a.  45˚, 45˚ 

b.  72˚, 18˚ 

c.  60˚, 30˚ 

d.  55˚, 35˚ 

Question number: 23
» Lines, Angles and Quadrilaterals
Question
The angles of a triangle are in the ratio . The triangle is ________
Choices
Choice (4)  Response  

a.  Isosceles 

b.  Acute 

c.  Obtuse 

d.  Question does not provide sufficient data or is vague 

Question number: 24
» Lines, Angles and Quadrilaterals
Question
The given figure PQRS is a parallelogram then the values of and are________
Choices
Choice (4)  Response  

a.  45˚, 60˚ 

b.  70˚, 35˚ 

c.  35˚, 70˚ 

d.  60˚, 45˚ 

Question number: 25
» Lines, Angles and Quadrilaterals
Question
In the figure, a is greater than b by one fifth of a right angle. Then a, b respectively are________
Choices
Choice (4)  Response  

a.  120˚, 110˚ 

b.  50˚, 120˚ 

c.  130˚, 60˚ 

d.  99˚, 81˚ 
