Question

Mark (✓) against the correct answer in each of the following:
In the given figure, the value of x is
(a) 10
(b) 12
(c) 15
(d) 20
Figure

Answer 1

(d) 20

$$\begin{gathered} \angle ACD+\angle BCD=180°\left(\mathrm{Linear}\mathrm{pair}\right) \\ \Rightarrow 4x°+5x°=180° \\ \Rightarrow 9x°=180° \\ \Rightarrow x°=20° \\ \mathrm{Therefore},x=20 \end{gathered}$$