Lines, Angles and Quadrilaterals (IMO Mathematics Olympiad Class 9): Questions 89  94 of 126
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Question number: 89
» Lines, Angles and Quadrilaterals
Question
In the figure, p is greater than q by one third of a right angle. Find the values of p and q.
Choices
Choice (4)  Response  

a.  p = 115˚ and q = 65˚ 

b.  p = 75˚ and q = 105˚ 

c.  p = 105˚ and q = 75˚ 

d.  p = 65˚ and q = 115˚ 

Question number: 90
» Lines, Angles and Quadrilaterals
Question
If two supplementary angles are in the ratio 13: 5, then the angles is ________
Choices
Choice (4)  Response  

a.  125˚, 55˚ 

b.  145˚, 35˚ 

c.  130˚, 50˚ 

d.  120˚, 60˚ 

Question number: 91
» Lines, Angles and Quadrilaterals
Question
In the given figure, ∠COD is a right angle. ∠AOC and ∠BOD are in the ratio of 3: 2, thus ∠BOD measures________
Choices
Choice (4)  Response  

a.  50˚ 

b.  40˚ 

c.  54˚ 

d.  36˚ 

Question number: 92
» Lines, Angles and Quadrilaterals
Question
Two supplementary angles differ by 58˚. Then the angles are ________
Choices
Choice (4)  Response  

a.  116˚, 64˚ 

b.  119˚, 61˚ 

c.  118˚, 62˚ 

d.  117˚, 63˚ 

Question number: 93
» Lines, Angles and Quadrilaterals
Question
ABC is an equilateral triangle for side . P, Q and R are midpoints of AB, CA and BC respectively. The area of triangle PQR is (in ) ________
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 94
» Lines, Angles and Quadrilaterals
Question
In the figure , form a linear pair and . Then a, b respectively are________
Choices
Choice (4)  Response  

a.  130˚, 50˚ 

b.  70˚, 120˚ 

c.  160˚, 70˚ 

d.  70˚, 110˚ 
