Answer:
1) [tex]65\textdegree[/tex]
2) [tex]44\textdegree[/tex]
3) [tex]107\textdegree[/tex]
4) [tex]82\textdegree[/tex]
Step-by-step explanation:
1) Since the whole angle is [tex]180\textdegree[/tex], and to find the other angle, which is labeled as [tex]x[/tex], you subtract [tex]115\textdegree[/tex] from [tex]180\textdegree[/tex]:
[tex]180 - 115 = 65[/tex]
[tex]x = 65\textdegree[/tex]
2) Since you already have two angle measures [tex]46\textdegree[/tex] and [tex]90\textdegree[/tex], you add them up and subtract it from [tex]180\textdegree[/tex] to get the angle measure for [tex]x[/tex]:
[tex]46 + 90 = 136[/tex]
[tex]180 - 136 = 44[/tex]
[tex]x = 44\textdegree[/tex]
3) Same thing from number 1. Subtract [tex]73\textdegree[/tex] from [tex]180\textdegree[/tex]:
[tex]180 - 73 = 107[/tex]
[tex]x = 107\textdegree[/tex]
4) Same thing from number 2. Add [tex]52\textdegree[/tex] and [tex]46\textdegree[/tex] and subtract it from [tex]180\textdegree[/tex]:
[tex]52 + 46 = 98[/tex]
[tex]180 - 98 = 82[/tex]
[tex]x = 82\textdegree[/tex]
