The given segments from the vertices to the incenter of the triangle ΔAEC
are angle bisectors.
- The measure of ∠GAF is 22°
Reasons:
The incenter of a triangle is the point of concurrency of the angle
bisectors of the triangle.
Therefore;
The segment [tex]\mathbf{\overline {AG}}[/tex] bisects the angle ∠CAE
Which gives;
∠BAG ≅ ∠GAF Definition of the bisection of ∠CAE
∴ ∠GAF = ∠BAG = 22° by definition of congruency
∠GAF = 22°
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