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

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Find the values of x and y. lines that appear

foriegnngal

27.01.2022

Complete Question

The complete question is shown on the first uploaded image

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

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