IMO Mathematics Olympiad Class 7: Questions 283  287 of 1012
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Question number: 283
» Practical Geometry  Lines and Angles
Question
ABC is an acute angled triangle. P, Q are the points on AB and AC respectively such that area of APC = area of AQB. A line is drawn through B parallel to AC and meets the line trough Q parallel to AB at S. QS cuts BC at R.
Choices
Choice (4)  Response  

a.  BR = RC 

b.  RS = AP 

c.  PC = BP 

d.  AP = PC 

Question number: 284
» Practical Geometry  Lines and Angles
Question
I: Sum of the two complementary angles are
II: Sum of two supplementary angles are
Which of the following statement is true?
Choices
Choice (4)  Response  

a.  I and II are false 

b.  Only II true 

c.  Only I true 

d.  I and II are true 

Question number: 285
» Practical Geometry  Lines and Angles
Question
In the figure, POQ, ROD and TOS are straight lines. Find y.
Choices
Choice (4)  Response  

a.  52° 

b. 


c.  45° 

d. 


Question number: 286
» Practical Geometry  Lines and Angles
Question
In the figure, MNOP is a trapezium with MN parallel to PQ, and is a straight line. Find X.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 287
» Practical Geometry  Lines and Angles
Question
Two supplementary angles are in the ratio , than the angles are
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

