04.	+Angle+Bisectors

**04. Angle Bisector**  An **Angle Bisector** is a ray that divides an angle into two adjacent angles that are congruent. A bisector divides something into two congruent parts. When a segment bisects an angle, the angle splits into two congruent angles. NOTE: PICTURES ARE NOT DRAWN TO SCALE
 * Here are some example problems! Answers are at the bottom of the page!

1. The Ray FH bisects ‹GFI. Given that ‹GFI=120°, what are the measures of ‹GFH and ‹HFI?

2. The Ray AD bisects <BAC. Given that <BAC=160º, what are the measures of <BAD and <DAC? 3. The Ray EF bisects <HEG. Given that <HEG=42º, what are the measures of <HEF and <FEG?

Helpful Websites: Math Ware House Math World Hot Math.com ** media type="custom" key="5162799" 1. Since the measure of <GFI equals 120º, you divide the two equal parts by 120º. **Here is the equation that could be used to solve the problem... 120 ÷ 2 Each part equals 60º <GFH = 60º & <HFI = 60º 2. Since the measure of <BAC equals 160º, you divide the two equal parts by 160º. Here is the equation that could be used to solve the problem... 160 ÷ 2 Each part equals 80º <BAD = 80º & <DAC = 80º 3. Since the measure of <HEG equals 42º, you divide the two equal parts by 42º. Here is the equation that could be used to solve the problem... 42 ÷ 2 Each part equals 21º <HEF = 21º & <FEG = 21º
 * SOLUTIONS TO PROBLEMS ABOVE!

Nicolette Gadaleta & Carly Saferstein