1.

A triangle ABC is inscribed in a circle, the bisectors of whose angles meet the circumference at X, Y and Z. Determine the angles X, Y and Z respectively.

A.  \[{{90}^{o}}-\frac{A}{2},{{90}^{o}}-\frac{B}{2},{{90}^{o}}-\frac{C}{2}\]
B.  \[{{90}^{o}},{{60}^{o}},{{30}^{o}}\]
C.  \[\frac{A}{2},\frac{B}{2},\frac{C}{2}\]
D.  \[\frac{B}{2},\frac{A}{2},\frac{A}{2}-\frac{B}{2}\]
Answer» B.  \[{{90}^{o}},{{60}^{o}},{{30}^{o}}\]


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