Question

Angle Theorems for triangles (20 PTS)

Answer 1

Answer:

1. $45^{0}$     2. $50^{0}$    3. $30^{0}$   4. $46^{0}$  5. x = $59^{0}$  6. w = $31^{0}$ 7. n = $65^{0}$

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

Answer 2

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