Question

A poultry farm produced 14q2 + 2q + 3 eggs in a year. It packaged 2q2 - 5q + 8 eggs and sent them to market while 9q2 + 9q - 2 eggs got destroyed. How many eggs are left with the poultry farm?

Answer 1

Let the two adjacent angles be 5x and 4x.

Now, since these angles form a linear pair.

So, 5x + 4x = 180o

⇒ 9x = 180o

⇒ x = \(\frac { 180 }{ 9 }  \) = 20

∴ The required angles are 5x = 5x = 5 20o = 100o

and 4x = 4 × 20o = 80o