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Question 1
Question: Can two vertically opposite angles be supplement to each other? Draw a diagram to illustrate your answer.
Answer: 
Let AB and CD bisect each other at right angles as shown in figure.







(
Vertically opposite angles can be
supplements to each other)
Question 1
Question: 

Answer: 


x and y


146 + y = 180
y = 180 - 146
= 340
(vertically opposite angles)
2x = 34
x = 17o
Question 3
Question: 

Answer: 
5x + 10 = 90o
5x = 90o - 10o
= 80o





Verification:


Question 4
Question: In the following diagrams parallel lines are marked by arrows in the same direction. Transversal is also drawn. Find the missing angles and provide the reason for each.
Note: (No proof is required but the essential steps of working must be given)

Answer: (i) Find a, b, c, d, e, f, g.








(ii) In the adjoining diagram AB||CD; PQ and RS are transversals. Find angles 1, 2, .....16.















Question 5
Question: If two straight lines are each perpendicular to a third straight line then they are parallel to each other. Prove.
Answer: 

Straight line AB and CD are perpendicular to line l.

AB||CD







Question 6
Question: 

Answer: 







From (i), (ii) and (iii)

are supplementary angles.
Question 7
Question: 

Answer: 
AB||CD, BC||DE



AB||CD (given)
BC is a transversal

BC||DE (given)
DC is a transversal


Question 8
Question: In the figure, show that AB||EF.

Answer:
[given]



i.e., 





Question 9
Question: If a line is perpendicular to one of two given parallel lines, show that it is also perpendicular to the other line.
Answer: 







[corresponding angles]
But,





Question 10
Question: 
are the bisectors of the corresponding angles BGE and DHE respectively.
Show that



Answer: 

angles BGE and DHE respectively.




i)










