Question

Line QR is tangent to circle P at point Q.

Answer 1

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°.

$53\° + \angle Q + \angle R = 180\°$

And, $\angle Q=90\°$

So,

$53\° + 90\°+ \angle R= 180\°\\\angle R= 180\° - 90 \° - 53\°\\\angle R= 37\°$

Therefore, angle R measures 37 degrees.

Answer 2

Answer:

a 37 degrees

Step-by-step explanation: