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If G is the incenter of ACE, find the measure of GAF
HELPP PLEASE​


If G Is The Incenter Of ACE Find The Measure Of GAF HELPP PLEASE class=

Sagot :

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°

Learn more about the incenter of a triangle here:

https://brainly.com/question/1831482

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