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Assume lines that look tangent, are tangent.Find the value of x.(The ones that are crossed out don’t need answered)

Assume lines that look tangent, are tangent.Find the value of x.(The ones that are-example-1
User ChW
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Take into account that for secant and tangent lines related to circles, use the following formula:

x = 1/2·(larger arc - smaller arc)

Then, you have, for the first circle:

larger arc = 360° - 124° = 236°

smaller arc = 124°

x = 1/2·(236° - 124°)

x = 1/2·(112°)

x = 56°

For the second circle, the value of x is the same that the given arc:

x = 124°

For the fourth circle:

larger arc = 171°

smaler arc = 67°

x = 1/2·(171° - 67°)

x = 1/2·(104°)

x = 52°

For the fifth circle:

x = 1/2·(101° + 39°)

x = 70°

User Cvogt
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