Method of Substitution to Find the Solution of a Pair of Linear Equations
Question 4 5 ...
Question
Question 45 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∘
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Solution
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]