we know that
m∠PTS=m∠RTQ -----> by vertical angles
Step 1
m∠RTQ+m∠QTS= -------> by supplementary angles
 -------> by supplementary angles
solve for m∠QTS
m∠QTS= -m∠RTQ -------> equation
-m∠RTQ -------> equation 
Step 2
m∠PTS+m∠QTS= -------> by supplementary angles
 -------> by supplementary angles
solve for m∠QTS
m∠QTS= -m∠PTS -------> equation
-m∠PTS -------> equation 
Step 3
equate equation  and equation
 and equation 
 -m∠RTQ=
-m∠RTQ= -m∠PTS
-m∠PTS
-m∠RTQ=-m∠PTS
so
m∠RTQ=m∠PTS
therefore
<u>the answer is the option A</u>
Sum of the measures of angles RTQ and QTS is 180°
 
        
                    
             
        
        
        
Answer:
x = - 3
Step-by-step explanation:
2x - 10 + 6 = 7x - 7 - 2x + 12
2x - 4 = 5x + 5
- 5 - 4 = 5x - 2x
-9 = 3x
x = - 9/3
x = - 3
 
        
             
        
        
        
405/81=5
10125/2025=5
It seems like it divided by 5 each time. 
So, the nth term of the sequence is (50625)n^(-5)
        
             
        
        
        
2×4=8
b×b×b= b^3
so putting them together would be
8×b^3
        
                    
             
        
        
        
(A) a triangle whose angles each measure less than 90°