Help out?? Mathematics image.
       
      
                
     
    
    
    
    
    1 answer:
            
              
              
                
                
Answer: (12) ∠1 = 20° (13) ∠2 = 50° (14) ∠3 = 15° (15) UV = 80° (16) AB = 40°  (17) ABC <em>or</em>  180° - CD (18) BC - 140°  (19) ABC = 150°
<u>Step-by-step explanation:</u>
12)  (UV - ST) = ∠1
(UV - ST) = ∠1
 (80 - 40) = ∠1
(80 - 40) = ∠1
 (40) = ∠1
(40) = ∠1
20 = ∠1
13)  (UV + ST) = ∠2
(UV + ST) = ∠2
 (70 + 30) = ∠2
(70 + 30) = ∠2
 (100) = ∠2
(100) = ∠2
50 = ∠2
14)  (VB - BS) = ∠3
(VB - BS) = ∠3
 (60 - 30) = ∠3
(60 - 30) = ∠3
 (30) = ∠3
(30) = ∠3
15 = ∠3
15)  (UV - ST) = ∠1
(UV - ST) = ∠1
 (UV - 20) = 30
(UV - 20) = 30
UV - 20 = 60
UV = 80
16) ∠1 = arc AB
      ∠1 = 40
               arc AB = 40 
17) arc AB + arc BC = arc AC
                                 = 180 = arc CD  
18) ∠1 + ∠2 + ∠3 = 180
    20 + ∠2  + 20 = 180
             ∠2 + 40 = 180
                       ∠2  = 140
19) ∠1 + ∠ 2 = arc ABC
      ∠1 + ∠2 + ∠3 = 180
     arc ABC + 30 = 180
             arc ABC = 150
 
                                
             
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