MHB Using the given information , find the value of x

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To find the value of x, the discussion utilizes the inscribed angle theorem and properties of cyclic quadrilaterals. Given that angle RQS is 25 degrees and angle RSP is 110 degrees, it follows that angle TSP, which is 70 degrees, is derived from angles on a straight line. The relationship between angles TPS and PQS is also highlighted as crucial for solving the problem. The key insights revolve around applying these angle relationships to determine the unknown value of x.
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What I know,

$\angle RQS=25^\circ$(Inscribed angle theorem) & $\angle RSP=110^\circ$(opposite angles of a cyclic quadrilateral add upto 180)

$\angle TSP=70^\circ$(angles on a straight line add upto 180)

(Happy) Many Thanks
 

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mathlearn said:
What I know,

$\angle RQS=25^\circ$(Inscribed angle theorem) & $\angle RSP=110^\circ$(opposite angles of a cyclic quadrilateral add upto 180)

$\angle TSP=70^\circ$(angles on a straight line add upto 180)

(Happy) Many Thanks
Hint: Note that $\angle TPS=\angle PQS$.
 
caffeinemachine said:
Hint: Note that $\angle TPS=\angle PQS$.

Many Thanks (Sun)
 

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