Question

Determine which of the following pairs of angles are co-terminal.
3)-180?,540?
4)-405?,675?
5)860?,580?
6)900?,-900?

Answer 1

$$\begin{gathered} Dearstudnt, \\ 3)-180°,540° \\ -180°-540° \\ =-720°=–2\times (360°) \\ whichisamultipleof360° \\ So,-180°and540°arecoterminal \\ 4)–405°,675° \\ –405°–675° \\ =–1080°=–3\times (360°) \\ whichisamultipleof360° \\ So,–405and675°arecoterminal \\ 5)860°,580° \\ 860°–580°=280° \\ whichisnotamultipleof360° \\ So,860°and580°arenotcoterminal \\ 6)900°,-900° \\ 900°-\left(-900°\right) \\ =1800° \\ =5\times 360° \\ whichisamultipleof360° \\ So,900°and-900°arecoterminal \\ Regards \end{gathered}$$