Question

In the given figure, ACB is a line such that ∠DCA = 5x and ∠DCB = 4x. Find the values of ∠DCA and ∠DCB.

Answer 1

It is given that ACB is a line in the figure given below.

Thus,and form a linear pair.

Therefore, their sum must be equal to.

Or, we can say that

Also, and. This further simplifies to :

$$\begin{gathered} \therefore \angle DCA=5x=5\times 20°=100° \\ \angle DCB=4x=4\times 20°=80° \end{gathered}$$

Hence, the values of ∠DCA and ∠DCB are 100^∘ and 80^∘ respectively.