Answer: The exterior angles are A ∠4 ; B ∠3 ; F ∠5
Step-by-step explanation:
Hi, an exterior angle is an angle that lies outside a closed shape or polygon.
In this case, we have a triangle, with extended lines.
The angles between the extended lines (5), or between a side of the triangle and an extended line (4; 3) are exterior angles.
In conclusion, the exterior angles are: A ∠4; B ∠3; F ∠5
Feel free to ask for more if it´s necessary or if you did not understand something.
In the given figure ∠4 and ∠3 are the exterior angles of the given triangle.
" Exterior angles are defined as the angles formed adjacent to the given interior angle of the triangle and formed a linear pair with it."
According to the question,
In the given triangle,
∠1 , ∠2, ∠6 are the interior angles of the given triangle.
∠1 + ∠2 +∠6 = 180°
From the observation of the given triangle,
∠3 is formed adjacent angle to ∠2.
∠2 and ∠3 are linear pairs angles.
∠4 is formed adjacent angles to ∠6.
∠4 and ∠6 are linear pairs angles.
∠3 and ∠4 satisfied the property of exterior angles of a triangle.
∠5 is vertically opposite angles to ∠6.
Hence, ∠4 and ∠3 are the exterior angles of the given triangle.
Learn more about exterior angles here
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