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Chapter 4: Q12. (page 165)

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

m鈭�8+m鈭�9=180

Short Answer

Expert verified

The given condition can prove two lines parallel and the lines that are parallel are c鈭�d.

Step by step solution

01

- Consider the diagram. 

Here, m鈭�8+m鈭�9=180.

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.

Since, angle 鈭�8 and 鈭�9 are same interior angles on same side formed by line a, which is the transversal line given their sum is 180掳, then by the theorem,c鈭�d.

03

- State the conclusion.

Therefore, the condition m鈭�8+m鈭�9=180 proves c鈭�d.

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