In a parallelogram, one angle is $\frac{4}{5}$ th of the adjacent angle. The adjacent angles of the parallelogram are (in degrees)

100 ,80

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48,60

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80,64

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60,75

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Solution

The correct options are
A
100 ,80

C
80,64

In a parallelogram, the adjacent angles are supplementary.
Let's assume x and y are the adjacent angles of the parallelogram.
x + y = 180 ... (i)
5x = 4y (Given) ... (ii)
Putting (ii) in (i), we get the values of x and y
x = 80, y = 100

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