Question

39. If a transversal intersects two parallel lines prove that internal bisectors
of the angle on the same side of a transversal meet at right angles.​

Answer 1

If a transversal intersects two parallel lines and form two equal angles inside.

then it means on any interior angle the angles so formed on the parallel line are of 180* together.

if both angles are equal then it means, let us say both are of value y.

then y+y=180

2y=180

y=90

hence every interior angle is of 90*. thus similarly on the opposite side,the

value of each interior angle is 90*. Now by using the Alternate Angles Property we an say that the angles are forming 90* and are perpendicular buisector of ANGLES. hence your question is answered by this mate if ypu have any problem with my answer or any practical absence then remember YOU HAVE'NT GIVEN ANY DIAGRAM .

now say thanks.

Answer 2

Answer:

view image down pls

l//m

2x + 2y=180° ( co-interior angles are supplementary)

2(x+y)+180°

x+y=90°

△ABP  , (x+y)+P=180°

               90°+P= 180°

                P=180°-90°

                    P=90°

hence proved

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