Respuesta :
Answer:
A
Step-by-step explanation:
Since PQRS is a square, PQ=QR.
[tex]4x + 3 = 41[/tex]
[tex]x = 38[/tex]
[tex]x = 9.5[/tex]
A diagonal of square PQRS creates two isoceles right triangles. So angle PQT measures 45 degrees. We then have:
[tex]2x + 4y = 45[/tex]
[tex]2(9.5) + 4y = 45[/tex]
[tex]19 + 4y = 45[/tex]
[tex]4y = 26[/tex]
[tex]y = 6.5[/tex]