Question

Lines AB and CD intersect at O. If angle
AOC + angle COB + angle BOD = 240° , then
=
angle AOC see​

Answer 1

Answer:

Since AB and CD are straight lines and they intersect each other at point O making angle AOC, COB, BOD and DOA respectively.

So, angle AOC+angle COB+angle BOD+angle DOA=360 degree........equation 1

According to question,

angle AOC+ angle COB+angle BOD=240 degree

So from equation 1..

angle DOA=120degree

Since angle AOC and angle DOA lie on line CD, then,

angle AOC+ angle DOA =180 degree

i.e. 120 degree+ angle AOC =180 degree

So angle AOC= 60 degree