if angle A : angle B = 3: 2, angle B:  angle C = 6: 3 then angle A: angle B:  angle C = what ratio?

Dear Student,

$$\begin{gathered} Given: \angle A : \angle B = 3 : 2 ; \angle B : \angle C = 6 : 3. \\ Now, \angle B : \angle C = 6 : 3 = \frac{6}{3} = 2 = \frac{2}{1} = 2 : 1. \\ \therefore \angle B : \angle C = 2 : 1. \\ \Rightarrow \mathbf{\angle }\mathit{A}\mathbf{ }\mathbf{:}\mathbf{ }\mathbf{\angle }\mathit{B}\mathbf{ }\mathbf{:}\mathbf{ }\mathbf{\angle }\mathit{C}\mathbf{ }\mathbf{=}\mathbf{ }\mathbf{3}\mathbf{ }\mathbf{:}\mathbf{ }\mathbf{2}\mathbf{ }\mathbf{:}\mathbf{ }\mathbf{1} \end{gathered}$$

​Hope this information clears your doubts about topic.

​If you have any more doubts, please ask here on the forum and our experts will try and help you out as soon as possible.

Regards