Question

Let OA, OB, OC, and OD be the rays in the anticlockwise direction starting from OA, such that angle AOB=angle COD=100°, angleAOD=angleBOC=80°. Is it true that AOC and BOD are straight lines? Justify Your answer by drawing the Figure.
Class 9 Maths Lines And Angles.....

Answer 1

Answer:

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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...

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