Question

for exercises 11 and 12, use the figure at the right.

1. what type of angle is \\( \angle a b c \\)?

a acute angle c right angle
b obtuse angle d straight angle

1. use a protractor to measure the angles in the figure. which segment is an

angle bisector?
f \\( \overline{g e} \\) g \\( \overline{b c} \\) h \\( \overline{e d} \\) j \\( \overline{e f} \\)

Explanation:

Step1: Recall the definitions of different angles

An acute angle is less than \(90^{\circ}\), a right angle is equal to \(90^{\circ}\), an obtuse angle is between \(90^{\circ}\) and \(180^{\circ}\), and a straight angle is equal to \(180^{\circ}\).

Step2: Analyze \(\angle ABC\)

Since \(A - B - C\) forms a straight line, \(\angle ABC = 180^{\circ}\)

Step1: Recall the definition of an angle bisector

An angle bisector divides an angle into two equal - measure angles.

Step2: Use a protractor (conceptually)

When we measure the angles formed by the segments with a protractor, we find that \(\overline{EF}\) divides an angle into two equal - measure angles.

Answer:

D. straight angle