Using the given information , find the value of x

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The discussion focuses on solving for the value of x using given angle measures in a cyclic quadrilateral. Key angles include $\angle RQS=25^\circ$, $\angle RSP=110^\circ$, and $\angle TSP=70^\circ$. The inscribed angle theorem and properties of cyclic quadrilaterals are applied to derive relationships between angles. The hints provided indicate that $\angle TPS$ is equal to $\angle PQS$, which is crucial for finding the value of x.

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  • Knowledge of cyclic quadrilateral properties
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  • Explore properties of cyclic quadrilaterals
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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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