Question
If the arms of one angle are respectively parallel to the arms of another angle, then the two angles are :
Answer: Option D
:
D
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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:
D
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.
Was this answer helpful ?
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