Complete Question
The complete question is shown on the first uploaded image
Answer:
The value of [tex]y = 122^o[/tex]
The value of [tex]x = 61^o[/tex]
Step-by-step explanation:
Generally the total angle that make up a circle is
[tex]\theta _T = 360[/tex]
From the diagram we see that
[tex]\theta _T = y^o + 238^o[/tex]
=> [tex]y^o = 360 -238[/tex]
[tex]y^o = 122^o[/tex]
Generally angle that is formed as a result of interception of a chord and a tangent is equal to the intercepted arc divided by 2
This implies that
[tex]x = \frac{y}{2}[/tex]
substituting values
[tex]x = \frac{122}{2}[/tex]
[tex]x = 61^o[/tex]
