Respuesta :

Answer:

44

Step-by-step explanation:

Angle C is half the angle at the centre, i.e ½(180) = 90

Using triangle ABC

90 + 46 + angle B = 180

Angle B = 180 - 136

Angle B = 44°

Step-by-step explanation:

Step 1:  Find the answer

We need to have at least two angles to find the third angle.  So, we have angle B and we can find angle C because it is 90 degrees since it is the third angle of the diameter.  So, now we have C = 90 degrees and B = 46 degrees.

[tex]90 + 46 + x = 180[/tex]

[tex]136 + x = 180[/tex]

[tex]136 - 136 + x = 180 - 136[/tex]

[tex]x = 44[/tex]

Answer: Angle B is 44 degrees