In the figure, find the values of $$x$$ and $$y$$ and then show that $$AB\parallel CD$$.
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Jyoti : "I can see $$6$$ pairs of perpendicular lines".
Harsha : "There are $$7$$ angles in the figure".
Jiya : "There is only one pair of parallel lines".
Harsha : "$$6$$ of the angles are less than a right angle".
Which pupil make the correct statement?
- A. Harsha
- B. Jiya
- C. Harsh
- D. Jyoti
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(ii) If a ray stands on a line, then the sum of two adjacent angles so formed is equal to $$180^0$$.
Is this system of axioms consistent? Justify your answer.
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