Which of the following are exterior angles? Check all that apply.6, 4C. 42E.

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Question:

Which of the following are exterior angles? Check all that apply.6, 4C. 42E.

Answer:

In the given figure ∠4 and ∠3 are the exterior angles of the given triangle.

What are exterior angles?

” 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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