Respuesta :

Answer:

Angle R measures 37 degrees.

Step-by-step explanation:

Givens

  • Line QR is tangent to the circle P at point Q.

If line QR is tangent at Q, then linea PQ and linea QR are perpendicular, which means angle Q inside the triangle is equal to 90°.

So, by definition, we know that all three internal angles must sum 180°.

[tex]53\° + \angle Q + \angle R = 180\°[/tex]

And, [tex]\angle Q=90\°[/tex]

So,

[tex]53\° + 90\°+ \angle R= 180\°\\\angle R= 180\° - 90 \° - 53\°\\\angle R= 37\°[/tex]

Therefore, angle R measures 37 degrees.

Answer:

a 37 degrees

Step-by-step explanation:

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