Question

Can three angles form a complementary or supplementary angle like for complementary 30 + 30 + 30 and for supplementary 120 + 20 + 40 ?

Answer 1

$$\begin{gathered} \mathrm{Supplementary}\mathrm{angles}\mathrm{and}\mathrm{complementary}\mathrm{angles}\mathrm{always}\mathrm{occurr}\mathrm{in}\mathrm{pairs}. \\ \mathrm{Supplementary}\mathrm{angles}:\mathrm{A}\mathrm{pair}\mathrm{of}\mathrm{angles}\mathrm{whose}\mathrm{sum}\mathrm{is}180°\mathrm{is}\mathrm{called}\mathrm{supplementary}\mathrm{angles}. \\ \mathrm{Complementary}\mathrm{angles}:\mathrm{A}\mathrm{pair}\mathrm{of}\mathrm{angles}\mathrm{whose}\mathrm{sum}\mathrm{is}90°\mathrm{is}\mathrm{called}\mathrm{complementary}\mathrm{angles}.\hspace{0.17em} \\ \mathrm{Consider}\mathrm{the}\mathrm{given}\mathrm{angle}\mathrm{as}50°. \\ \mathrm{Measure}\mathrm{of}\mathrm{its}\mathrm{supplement}=180°-50°=130° \\ \mathrm{Measure}\mathrm{of}\mathrm{its}\mathrm{complement}=90°-50°=40° \end{gathered}$$