Question

state true or false
The two opposite angles of a square are complementary angle

Answer 1

$$\begin{gathered} \mathrm{We}\mathrm{know}\mathrm{that}\mathrm{each}\mathrm{angle}\mathrm{of}\mathrm{a}\mathrm{square}\mathrm{is}\mathrm{a}\mathrm{right}\mathrm{angle}. \\ \mathrm{Let}\mathrm{ABCD}\mathrm{is}\mathrm{a}\mathrm{square}. \\ \mathrm{So},\angle \mathrm{A}=\angle \mathrm{B}=\angle \mathrm{C}=\angle \mathrm{D}=90° \\ \mathrm{Now},\angle \mathrm{A}+\angle \mathrm{C}=90°+90°=180° \\ \angle \mathrm{B}+\angle \mathrm{D}=90°+90°=180° \\ \mathrm{Hence},\mathrm{we}\mathrm{can}\mathrm{say}\mathrm{that}\mathrm{opposite}\mathrm{angles}\mathrm{of}\mathrm{square}\mathrm{are}\mathrm{supplementary}. \\ \mathrm{So},\mathrm{given}\mathrm{statement}\mathrm{is}\mathrm{false}. \end{gathered}$$