In Fig. 8.40, ∠ ACB is a line such that ∠ DCA = 5 x and ∠ DCB = 4 x . Find the value of x.

Question

In Fig. 8.40, &#x2220; ACB is a line such that &#x2220; DCA = 5 x and &#x2220; DCB = 4 x . Find the value of x.

Philoid · Accepted Answer

∠ACD + ∠BCD = 180^o(Linear pair)

5x + 4x = 180^o

9x = 180^o

x = 20^o

In Fig. 8.40, ∠ACB is a line such that ∠DCA = 5x and ∠DCB = 4x. Find the value of x.