Question

In Fig., ∠CBX is an exterior angle of ∆ABC at B. Name

(i) the interior adjacent angle
(ii) the interior opposite angles to exterior ∠CBX.
Also, name the interior opposite angles to an exterior angle at A.

Answer 1

$$\begin{gathered} \left(\mathrm{i}\right)\mathrm{The}\mathrm{interior}\mathrm{angle}\mathrm{adjacent}\mathrm{to}\mathrm{exterior}\angle \mathrm{CBX}\mathrm{is}\angle \mathrm{ABC}. \\ \left(\mathrm{ii}\right)\mathrm{The}\mathrm{interior}\mathrm{angles}\mathrm{opposite}\mathrm{to}\mathrm{exterior}\angle \mathrm{CBX}\mathrm{are}\angle \mathrm{BAC}\mathrm{and}\angle \mathrm{ACB}. \\ \mathrm{Also},\mathrm{the}\mathrm{interior}\mathrm{angles}\mathrm{opposite}\mathrm{to}\mathrm{exterior}\angle \mathrm{BAY}\mathrm{are}\angle \mathrm{ABC}\mathrm{and}\angle \mathrm{ACB}. \end{gathered}$$