Respuesta :

Answer:

The angle is 90 degrees

Step-by-step explanation:

Required

Angle subtended by the diameter

The theorem to solve this is:

The angle subtended by an arc is twice the angle it subtends.

The diameter forms [tex]180^\circ[/tex] on the circle, so we have:

[tex]2*\theta = 180^\circ[/tex]

Where [tex]\theta[/tex] is the angle subtended

Solve for [tex]\thets[/tex][tex]\theta[/tex]

[tex]\theta = \frac{180^\circ}{2}[/tex]

[tex]\theta = 90^\circ[/tex]