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Question

If the arms of one angle are parallel to the arms of another angle, then the two angles are :


A

Neither equal nor supplementary

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B

Not equal but supplementary

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C

Equal but not supplementary

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D

Either equal or supplementary

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Solution

The correct option is A

Either equal or supplementary


Let the two angles be ABC and PQR.
There are two possible cases:

i)


Here,
1=2 [Correspoding angles] and
2=3 [Corresponding angles]
1=3
ABC=PQR

ii)

Here 1+2=180 [Co-interior angles] and
2=3 [Corresponding angles]
1+3=180
ABC+PQR=180
Hence, it can be seen that the angles could either be equal or supplementary.


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