Question
In a parallellogram PQRS, if ∠P=60∘, then other three angles are
a) 45∘,135∘,120∘
b) 60∘,120∘,120∘
c) 60∘,135∘,135∘
d) 45∘,135∘,135∘
In a parallellogram PQRS, if ∠P=60∘, then other three angles are
a) 45∘,135∘,120∘
b) 60∘,120∘,120∘
c) 60∘,135∘,135∘
d) 45∘,135∘,135∘
Answer:
:
Given, ∠P=60∘
Since, in a parallelogram, adjacent angles are supplementary,
∠P+∠Q=180∘⇒60∘+∠Q=180∘⇒∠Q=120∘
Also, opposite angles are equal in a parallelogram.
Therefore, ∠R=∠P=60∘,∠S=∠Q=120∘
Hence, other three angles are 60∘,120∘,120∘.
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:
Given, ∠P=60∘
Since, in a parallelogram, adjacent angles are supplementary,
∠P+∠Q=180∘⇒60∘+∠Q=180∘⇒∠Q=120∘
Also, opposite angles are equal in a parallelogram.
Therefore, ∠R=∠P=60∘,∠S=∠Q=120∘
Hence, other three angles are 60∘,120∘,120∘.
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