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Trigonometry
Question

The angle bisectors of \(\triangle X Y Z\) are \(\...

The angle bisectors of \(\triangle X Y Z\) are \(\overline { X G } , \overline { Y G }\) , and \(\overline { Z G }\) . They meet at a single point \(G\) . (In other words, \(G\) is the incenter of \(\triangle X Y Z\) .) Suppose \(D G = 12 , X G = 17 , m \angle D X F = 98 ^ { \circ }\) , and \(m \angle F Z G = 14 ^ { \circ }\) . Find the following measures. Note that the figure is not drawn to scale. \(m \angle F Z E = \square\) 

\(m \angle E Y G = \square\) 

\(E G = \square\) 

Answer

\({M}' \angle FZE = 28\)

\(M\angle  EYG= 27\)

EG=12

Solution
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