Question

Find the values of x and y. lines that appear to be tangent are tangent

Answer 1

Complete Question

The complete question is shown on the first uploaded image

Answer:

The value of  $y = 122^o$

The value of  $x = 61^o$

Step-by-step explanation:

Generally the total angle that make up a circle is

      $\theta _T = 360$

From the diagram we see that

    $\theta _T = y^o + 238^o$

=>    $y^o = 360 -238$

       $y^o = 122^o$

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

           $x = \frac{y}{2}$

substituting values

          $x = \frac{122}{2}$

          $x = 61^o$