If two lines are parallel then prove that any pair of bisictors of thier alternate interior angle is also parallel.

Asked by amarjitruksh
| 20th Jun, 2022,
10:40: PM
Expert Answer:
Let AB and CD be the two paralle lines and XY be their transverval intersecting AB at X and CD at Y
Since alternate angles are equal
Therefore, angle BXY = angle DYX
Therefore, 2a = 2b
i.e. a = b
So, for lines XP and YQ, angle PXY = angle QYX
Thus, lines PX and QY are parallel
Answered by Renu Varma
| 25th Jun, 2022,
12:12: PM
Concept Videos
- Q 19
- kindly give solution to the question in the image.
- the diagram for the 8th question.
- FIND X AN D Y
- If a transversal intersects two parallel lines, then prove that each pair of consecutive interior angles are supplementary.
- Show that in the given figure, AB || EF.
- If two lines are intersected by a transversal in such a way that the bisector of a pair of angles are parallel, show that the two lines are parallel.
Kindly Sign up for a personalised experience
- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions
Sign Up
Verify mobile number
Enter the OTP sent to your number
Change