IMO Level 1 Mathematics Olympiad (SOF) Class 9: Questions 175  181 of 929
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Question number: 175
» 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.  38˚ 

b.  65˚ 

c.  67.5˚ 

d.  56˚ 

Question number: 176
» 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.  36˚, 144˚ 

c.  18˚, 72˚ 

d.  40˚, 160˚ 

Question number: 177
» 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.  13 cm 

b.  19 cm 

c.  Cannot be determined 

d.  16 cm 

Question number: 178
» Lines, Angles and Quadrilaterals
Question
If two complementary angles are in the ratio 13: 5, then the angles are________
Choices
Choice (4)  Response  

a.  65˚, 25˚ 

b.  13 x˚, 5 x˚ 

c.  15˚, 85˚ 

d.  65˚, 35˚ 

Question number: 179
Question
If a right triangle has sides of length 1 and , which of the following could be the length of the remaining side?

1


Choices
Choice (4)  Response  

a.  3 Only 

b.  1 Only 

c.  1 And 3 Only 

d.  2 Only 

Question number: 180
Question
If and x and y are positive integers, then y could be which of the following?
Choices
Choice (4)  Response  

a.  4 

b.  5 

c.  3 

d.  2 

Question number: 181
» Lines, Angles and Quadrilaterals
Question
In the figure, form a linear pair and . Then a, b respectively are________
Choices
Choice (4)  Response  

a.  110˚, 70˚ 

b.  120˚, 80˚ 

c.  80˚, 120˚ 

d.  70˚, 100˚ 
