in the given figure, a transversal t intersects two lines p and q. check whether pllq or not.
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Hi mate
where is the figure
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Given:
Lines p and q are intersected by a transverse line t.
To Prove: p || q
Proof:
- Consider two lines p and q, which is intersected by transverse line t.
- Angle x and angle y are two angles made by the transverse line t with the lines p and q respectively at points O and N.
- For p and q to be parallel, angle x must be equal to angle y.
- ∠x = ∠y because both the angles are corresponding angle.
Answer:
x and y are corresponding angles and are equal. So, the lines p and q are parallel.
Your question is incomplete. You might be referring to the figure below:
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