Question

A line p is parallel to line q transversal l intersects them at A and B , respectively . Bisectors of interior angles at C and D . Name the figure ABCD with reasons.

Answer 1

Answer:

The figure is a rectangle

Step-by-step explanation:

1- angleA+angleB+angleC+angleD=360

2-angleA+angleB=180 (co-interior)

also angle angle BAC=ACD

since the alternate angles are equal, AC||BD and AD||BC

SO IT IS DEFINITELY A PARALLELOGRAM

angleA=180 (all points that make up angleA)

its half=90

in a parallelogram opposite angles are equal and adjacent angles are =180

so we arrive at the conclusion that ABCD is a parallelogram with all sides=90

therefore ABCD is a rectangle

P.S: it would have been easier had u attached a figure or something. Stay cool!