Question

29. In the given figure, OE and OF bisect <AOC and <COB respectively and
OE parllel OF. Show that points A, O, B are collinear.​

Answer 1

Answer:

here to show that AOB to be we need to prove that angle AOB=180°

suppose angle EOC=x

angle COF=90-x

since OE is angle bisector

angle AOE = angle EOC = x

similarly

angle COF = angle FOB = 90-x

angle AOB = angle AOE + angle EOC + angle COF + angle FOB

angle AOB = x + x + 90-x + 90-x = 180

therefore AOB are collinear

Answer 2

Answer:

angle EOC + COF is right angle (given)

now angle AOE + BOF = 90 degree

by adding both it is 180

so A, O , B are collinear

Step-by-step explanation:

hope this helps you.