Question

In the given figure, ∠AOC and ∠BOC form a linear pair. If a − 2b = 30°, find a and b.

Answer 1

In the figure given below, it is given thatand forms a linear pair.

Thus, the sum of and should be equal to.

Or, we can say that:

From the figure above, and

Therefore,

It is given that:

On comparing (i) and (ii), we get:

Putting in (i), we get :

Hence, the values for a and b areand respectively.