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With reference to the figure below, consider the two statements:
Statement 1: The points A, B, and C will lie on a straight line if x + y = 180.
Statement 2: The angle on a straight line is 180.
With Reference To The Figure Below, Consider The Two Stateme...
Options:
A .  Both the statements are true and statement 2 is the correct explanation of statement 1.
B .  Both the statements are true and statement 2 is not the correct explanation of statement 1.
C .  Statement 1 is true and statement 2 is false.
D .  Statement 1 is false and statement 2 is true.
Answer: Option A
:
A
The angle on a straight line is180. Adjacent angles on a straight line add up to180.
Conversely, if adjacent angles add up to180 then the angles are ona straight line.
Hence, if x + y = 180 , then A, B and C lie on a straight line.
Therefore, both the statements are true and statement 2 is the correct explanation of statement 1.

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