IMO Mathematics Olympiad Class 9: Questions 157  162 of 919
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Question number: 157
Question
If the perimeter of a rectangular garden plot is 80 metres, which of the following could be the length of one of its sides?
I. 30 metres
II. 40 metres
III. 50 metres
Choices
Choice (4)  Response  

a.  III only 

b.  I only 

c.  II only 

d.  I and II 

Question number: 158
» 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: 159
» 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: 160
» 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: 161
» 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: 162
» 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 
