The lengths of adjacent sides of the parallelogram are 40 cm and 50 cm.
<h3>What is a parallelogram?</h3>
A parallelogram is a simple quadrilateral with two pairs of parallel sides.
Now, suppose a and be are two sides of parallelogram
Then, Perimeter P = 2( a+ b)
Now, it is given that perimeter of a parallelogram is 180 cm.
⇒ 2( a+ b) = 180
⇒ a + b = 90
It is also given that one side exceeds the other by 10 cm.
⇒ a = b + 10
Putting the value of a in above equation we get,
b + 10 + b = 90
⇒ 2b = 90 - 10
⇒ 2b = 80
⇒ b = 40 cm
Similarly, a = b + 10
⇒ a = 40 + 10
⇒ a = 50 cm
Hence, the required sides of parallelogram are 40cm and 50cm.
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