Lines, Angles and Quadrilaterals (IMO Mathematics Olympiad (SOF) Class 9): Questions 67  72 of 126
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Question number: 67
» 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: 68
» 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: 69
» 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 

Question number: 70
» Lines, Angles and Quadrilaterals
Question
If two complementary angles are in the ratio 13: 5, then the angles are________
Choices
Choice (4)  Response  

a.  15˚, 85˚ 

b.  65˚, 25˚ 

c.  13 x˚, 5 x˚ 

d.  65˚, 35˚ 

Question number: 71
» Lines, Angles and Quadrilaterals
Question
In the figure, form a linear pair and . Then a, b respectively are________
Choices
Choice (4)  Response  

a.  70˚, 100˚ 

b.  80˚, 120˚ 

c.  110˚, 70˚ 

d.  120˚, 80˚ 

Question number: 72
» Lines, Angles and Quadrilaterals
Question
If two supplementary angles are in the ratio 13: 5, then the angles is ________
Choices
Choice (4)  Response  

a.  130˚, 50˚ 

b.  125˚, 55˚ 

c.  145˚, 35˚ 

d.  120˚, 60˚ 
