Question
If opposite angles of a parallelogram are supplementary, then the parallelogram is _____ .
Answer: Option B
:
B
We know that,
the opposite angles of a parallelogram areequal.
ie. ∠A=∠Cand∠B=∠D...(i)
If they are supplementary as well, then
∠A+∠C=180∘
from (i),
∠A+∠A=180∘
2∠A=180∘
∠A=90∘
Similarly,
∠C=90∘
Itmeans that each angle will be equal to 90∘.
A parallelogram whose internal angles are all 90∘ is a rectangle.Thus, the figure will be a rectangle.
Was this answer helpful ?
:
B
We know that,the opposite angles of a parallelogram areequal.
ie. ∠A=∠Cand∠B=∠D...(i)
If they are supplementary as well, then
∠A+∠C=180∘
from (i),
∠A+∠A=180∘
2∠A=180∘
∠A=90∘
Similarly,
∠C=90∘
Itmeans that each angle will be equal to 90∘.
A parallelogram whose internal angles are all 90∘ is a rectangle.Thus, the figure will be a rectangle.
Was this answer helpful ?
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