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Chapter 4: Q13. (page 165)

State whether the given information be used to prove that two lines are parallel and also state which lines.

m鈭�1鈮�m鈭�4

Short Answer

Expert verified

The given condition does not prove two lines parallel that is the answer isno lines.

Step by step solution

01

- Consider the diagram. 

Here, m鈭�1鈮�m鈭�4.

02

- Show the calculation.

Using the theorem which states-

If two lines are cut by a transversal and same-side interior angles are supplementary, then the lines are parallel.

Also, if corresponding alternate angles are equal then lines are parallel.

Here, if 鈭�1鈮�鈭�9, 鈭�3鈮�鈭�11, 鈭�2鈮�鈭�4 and 鈭�10鈮�鈭�12, then, lines would have been parallel but 鈭�1鈮�鈭�4 are not corresponding angles therefore no two lines are parallel .

So, no lines are parallel.

03

- State the conclusion.

Therefore, no lines can be proved parallel using the condition m鈭�1鈮�m鈭�4.

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