Respuesta :

Since QS and PR bisect each other at point T, triangles QTP and RTS are similar. Hence, we ca draw the following picture:

and we can see that x+48 must be equal to 2x:

[tex]2x=x+48[/tex]

and we can solve this equation for the unknow x as

[tex]\begin{gathered} 2x-x=48 \\ x=48 \end{gathered}[/tex]

Now, with the value x, the angle P is equal to

[tex]\begin{gathered} P=48+48 \\ P=96 \end{gathered}[/tex]

and the answer is a.

Ver imagen JohnaelE635369