Question

question 10 of 10
which of the following are exterior angles? check all that apply.
a. \\( \angle 2 \\)
b. \\( \angle 4 \\)
c. \\( \angle 5 \\)
d. \\( \angle 1 \\)
e. \\( \angle 6 \\)
f. \\( \angle 3 \\)

Explanation:

Step1: Recall the definition of exterior angle

An exterior angle of a triangle is formed by one side of the triangle and the extension of an adjacent side.

Step2: Analyze each angle

• For \(\angle2\): It is formed by the extension of a side of the triangle and another line (not a side of the triangle in the required way for an exterior - angle of the triangle shown), so it is not an exterior angle of the given triangle.
• For \(\angle4\): It is formed by one side of the triangle and the extension of an adjacent side, so it is an exterior angle.
• For \(\angle5\): It is an interior angle of the triangle, so it is not an exterior angle.
• For \(\angle1\): It is formed by the intersection of two lines (not in the form of a side and an extension of an adjacent side of the triangle), so it is not an exterior angle of the given triangle.
• For \(\angle6\): It is an interior angle of the triangle, so it is not an exterior angle.
• For \(\angle3\): It is formed by one side of the triangle and the extension of an adjacent side, so it is an exterior angle.

Answer:

B. \(\angle4\), F. \(\angle3\)