Find the arc please!

You better get back to basics, Dac;
the 2 angles you show MUST be equal.
 
Hello, dacamogeko!

Sorry, but the picture doesn't make sense . . .

If that angle is 65<sup>o</sup>, then the other angle (a vertical angle) is also 65<sup>o</sup>.

Their intersection looks suspiciously like the center, but I'm sure it isn't.
 
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