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 
