Two parallel lines are intersected by a transversal. Prove: Angle bisectors of the same side interior angles are perpendicular.

Same-side interior angles are a pair of angles on one side of a transversal line, and on the inside of the two parallel lines being intersected.

The sum of same-side interior angles is equal to 180 degrees.

A transversal line is a line that intersects other lines.

Parallel lines are lines that run alongside each other that never intersect.

An angle bisector is a line that divides an angle into two equal parts.

Given that the sum of same side interior angles is equal to 180 degrees, then the sum of the angle formed by the angle bisector is equal to 90 degrees.

Thus the angle bisectors intersect at an angle 90 degrees.

Therefore, the angle bisectors of two same side interior angles in construction with two parallel lines and a transversal intersect at angle 90 degrees.

Read more on -

definition: a circle is the  set of all points in a plane that are equidistant  from a given  point  called the center of the circle. we use the symbol ⊙ to represent a circle. the a line segment from the center of the circle to  any point  on the circle is a radius of the circle.

step-by-step explanation:

i googled it and this is what i got i don't know how it is. sorry.