Question

In the figure angle 1=65°,angle 2=65° and is p||q. Given reasons.​

Answer 1

Given, <1=65°

<2°65°

p||q

They both are equal because they are alternative interior angles and that's why p is parallel to q.

Answer 2

Answer:

In given figure

Line p II line q and line t is the transversal

Assume angle 4 near angle 1

Angle 4 + Angle to 1 = 180°

.. (linear pair of angles are supplementary)

Angle 4=180°-angle 1

=180°-65°

=115°

Angle 4=Angle 2.. (corresponding angle theorem)

Angle 2 is 115°