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Question

2 angles forming a linear pair are in the ratio of 4:5. Find the angles.
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Solution

Let the first angle be 4x.
So the second angle is 5x. [Since their ratio is 4:5]

Since the angles form linear pair,
4x + 5x = 180
9x = 180
x = 180/9 = 20

So, first angle = 4*20 = 80
second angle = 5*20 = 100

Thus the required angles are 80 degrees and 100 degrees.

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