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Two Point Form of a Line

Consecutive i...

Question

Consecutive interior angles of a parallelogram 30x and 40y. Write a linear equation which satisfies this data. Also draw the graph for the same.

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Solution

The sum of consecutive angles of a parallelogram is 180 degree
So 30x+40y = 180
3x+4y = 18 …(1)
This is the required equation.
Now $y = \frac{1}{4} (18 - 3 x)$
Put some value of x to get y and then plot these points on graph and join them to get the graph.

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