Given:
PQRS is a circle, PQT and SRT  are straight lines.
To find:
The value of x.
Solution:
Since PQRS is a circle, PQT and SRT  are straight lines, therefore, PQRS isa cyclic quadrilateral.
We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.




Now, SRT  is a straight line.
 (Linear pair)
             (Linear pair)


 ...(i)
               ...(i)
According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.
Using exterior angle theorem in triangle QRT, we get



Therefore, the value of x is 103 degrees.
 
        
             
        
        
        
Answer:
18 but look at others awnsers aswell
Step-by-step explanation:
 
        
                    
             
        
        
        
the answer should be C. 5.27
 
        
             
        
        
        
Answer:
y = x + 8
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
∠ A = 82°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
A is an exterior angle of the triangle, then
∠ A = 49° + 33° = 82°