MHB Why Does Triangle AOB Have Angles of 30, 30, and 120 Degrees?

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Please can anyone help me on how to work this out ?
 

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Triangle AOB has angles 30, 30, and 120 degrees ... why?
 
Thread 'Erroneously  finding discrepancy in transpose rule'
Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...

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