Question
Two adjacent angles of a parallelogram are in the ratio 1 : 5. Then, all the angles of the parallelogram are
a) 30∘,150∘,30∘,150∘
b) 85∘,95∘,85∘,95∘
c) 45∘,135∘,45∘,135∘
d) 30∘,180∘,30∘,180∘
Two adjacent angles of a parallelogram are in the ratio 1 : 5. Then, all the angles of the parallelogram are
a) 30∘,150∘,30∘,150∘
b) 85∘,95∘,85∘,95∘
c) 45∘,135∘,45∘,135∘
d) 30∘,180∘,30∘,180∘
Answer:
:
Let the adjacent angles of a parallelogram be x and 5x, respectively.
Then, x+5x=180∘ [∵ adjacent angles of a parallelogram are supplementary]
⇒6x=180∘
⇒x=30∘
∴ The adjacent anlges are 30∘ and 150∘.
Hence, the angles are 30∘,150∘,30∘,150∘ . [∵ opposite angles are equal]
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:
Let the adjacent angles of a parallelogram be x and 5x, respectively.
Then, x+5x=180∘ [∵ adjacent angles of a parallelogram are supplementary]
⇒6x=180∘
⇒x=30∘
∴ The adjacent anlges are 30∘ and 150∘.
Hence, the angles are 30∘,150∘,30∘,150∘ . [∵ opposite angles are equal]
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