Consider the attached diagram, where ∠PQR is a straight angle.        
      
                
     
    
    
    
    2  answers:
            
              
Answer: 
x = 22°
∠PQS = 112°
∠SQR = 68°
Step-by-step explanation: 
         Since ∠PQR is a straight angle , it is equal  to 180°. This means that ∠PQS and ∠SQR added  together is also equal  to 180°.
         ∠PQS + ∠SQR = 180°
         (6x - 20) + (3x + 2) = 180°
         6x + 3x + 2 - 20 = 180°
         9x - 18 = 180°
         9x = 198°
                  x = 22
         Now, we can substiute  x into ∠PQS and ∠SQR.
         ∠PQS 
         (6(22) - 20)
                  ∠PQS = 112°
         ∠SQR
         (3x + 2)
         (3(22) + 2)
                  ∠SQR = 68°
 
                                
             
                    
              
Answer: 
x = 22
PQS = 112
SQR = 68
Step-by-step explanation: 
Straight angles equal to 180 degrees
(6x - 20) + (3x + 2) = 180 
9x - 18 = 180
9x = 198
x = 22
 
                                
             
         	
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