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`

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 = (y)/(2)`

substituting values

`x = (122)/(2)`

`x = 61^o`