Lines Angles and Triangles - Test Questions-i


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Question 1

Question:   Write complement of 42o, 87o, 20o.

Answer:    Angles 48o, 3o, 70o are the complements of the angles 42o, 87o, 20o respectively.

Question 2

Question:   Write the supplement of 108o, 93o, 170o.

Answer:    Angles 72o, 87o, 10o are the supplements of the angles 108o, 93o, 170o respectively.

Question 3

Question:  

Answer:   
2x+112=360
2x=360-112=248


Question 4

Question:   In the adjoining figure, OA and OB are opposite rays.

(i) If x=75o, what is the value of y?
(ii) If y=110o, what is the value of x?

Answer:    (i) If x=75o then
x+y=180o ( Linear pair)
75o+y=180o
y=180o-75o
y=105o
(ii) If y=110o, then
x+y=180o ( Linear pair)
x+110o=180o
x=180o-110o
x=70o

Question 5

Question:  
Determine the value of x.

Answer:    4x+2x=180o ( Linear pair)
6x=180o

x = 30o
4x = 4 x 30o
= 120o
2x = 2 x 30o
= 60o

Question 6

Question:   In the given figure, form a linear pair. If a - b = 80o, find the values of 'a' and 'b'.

Answer:   

Adding (i) and (ii),
a + b + a - b = 1800 + 800
2a = 260o
a = 130o
Substituting a = 130o in (i)
a + b = 180o
130 + b = 180o
b = 180o - 130o
b = 50o
a = 130o and b = 50o

Question 7

Question:  

Answer:   





Question 8

Question:  

Answer:   



Question 9

Question:  

Answer:    ( straight angle)


Divide both sides by 2,


Question 10

Question:  

Answer:    ...(i) ( they form a linear pair)
...(ii) ( Linear pair)
Equating (i) and (ii),





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