Angle Theorems for triangles (20 PTS)

Answer:
sum of all the interior angles of the triangles is 180
Step-by-step explanation:
1)45+90+x=180
x=180-90-45
x=45
2)60+70+x=180
x=180-60-70
x=50
3)85+65+x=180
x=180-85-65
x=30
4)104+30+x=180
x=180-104-30
x=46
Answer:
1. [tex]45^{0}[/tex] 2. [tex]50^{0}[/tex] 3. [tex]30^{0}[/tex] 4. [tex]46^{0}[/tex] 5. x = [tex]59^{0}[/tex] 6. w = [tex]31^{0}[/tex] 7. n = [tex]65^{0}[/tex]
Step-by-step explanation:
1. 45 + 90 + ? = 180
=> ? = 45
2. 60 + 70 + ? = 180
=> ? = 50
3. 85 + 65 + ? = 180
=> ? = 30
4. 104 + 30 + ? = `180
=> ? = 46
5. x + x + (x+3) = 180
=> 3x + 3 = 180
3x = 180 - 3 = 177
x = 177 : 3 = 59
=> angle (x + 3) = 59 + 3 = 62
6. w + w + (4w - 6) = 180
=> 6w - 6 = 180
6w = 180+6 = 186
w = 186 : 6 = 31
=> angle (4w-6) = 4 x 31 - 6 = 118
7. n + n + 50 = 180
=> 2n = 180 - 50
2n = 130
n = 130 : 2 = 65