IMO Mathematics Olympiad Class 9: Questions 174  178 of 919
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Question number: 174
» Lines, Angles and Quadrilaterals
Question
In the adjacent figure, PQRS is a rhombus whose diagonals PR and QS intersect at a point O if side PQ = 20 cm and diagonal QS = 24 cm, the length of diagonal PR is ________
Choices
Choice (4)  Response  

a.  30  
b.  28  
c.  32  
d.  34 
Question number: 175
» Lines, Angles and Quadrilaterals
Question
The sides BA and DC of the quadrilateral ABCD are produced as shown in the figure, then________.
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 176
» Lines, Angles and Quadrilaterals
Question
The supplement of an angle is 30 more than five times its complement. Find the measure of the angle
Choices
Choice (4)  Response  

a.  65˚  
b.  67.5˚  
c.  56˚  
d.  38˚ 
Question number: 177
» Lines, Angles and Quadrilaterals
Question
The measure of an angle is four times the measure of its supplementary angle. Then the angles are________
Choices
Choice (4)  Response  

a.  50˚, 200˚  
b.  18˚, 72˚  
c.  36˚, 144˚  
d.  40˚, 160˚ 
Question number: 178
» Lines, Angles and Quadrilaterals
Question
In the given figure, ABCD is a trapezium in which AB = 7cm, AD = BC = 5 cm, DC = x cm and the distance between AB and CD is 4 cm. Then the value of x is ________
Choices
Choice (4)  Response  

a.  19 cm  
b.  Cannot be determined  
c.  16 cm  
d.  13 cm 