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

Question

asked Apr 12, 2021 18.1k views

1 Answer

Sunisa · Answer 1 · 2021-04-16T10:59:04+0000

Complete Question

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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