Question

Let OA, OB, OC, OD be the rays in the anticlockwise direction such that angle AOB is equal to angle COD is equal to 100 degree, angle BOC is equal to 82 degree and Angle AOD is equal to 78 degree. Is it true to say that AOC and BOD are lines?

Answer 1

Answer:

No.

Step-by-step explanation:

If BOD and AOC were lines, then the sum of angles so formed should have been 180 degrees(Linear pair axiom)

But as we can see here...

BOD=BOA+AOD=100+72=172...which is not equal to 180.

Similarly, AOC=AOB+BOC=100+82=182...which is more than 180...

So, clearly, they are not lines.

Hope, this helps you...

Answer 2

If BOD and AOC were lines, then the sum of angles so formed should have been 180 degrees(Linear pair axiom)

But as we can see here...

BOD=BOA+AOD=100+72=172...which is not equal to 180.

Similarly, AOC=AOB+BOC=100+82=182...which is more than 180...

So, clearly, they are not lines

Hence the answer is no