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Warm Up 1. Draw AB and AC , where A , B , and C are noncollinear.

Learn about angles, angle bisectors, angle addition postulate, and solve angle equations in this educational guide with step-by-step examples.

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Warm Up 1. Draw AB and AC , where A , B , and C are noncollinear.

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  1. Warm Up 1. Draw AB and AC, where A, B, and C are noncollinear. 2. Draw opposite rays DE and DF. Solve each equation. 3. 2x + 3 + x – 4 + 3x – 5 = 180 4.5x + 2 = 8x – 10 B A C D E F Possible answer: 31 4

  2. The set of all points between the sides of the angle is the interior of an angle. The exterior of an angleis the set of all points outside the angle. Angle Name SRT, TRS, or 1

  3. Example 2: Measuring and Classifying Angles Find the measure of each angle. Then classify each as acute, right, or obtuse. A. WXV mWXV = 30° WXV is acute. B. ZXW mZXW = |130° - 30°| = 100° ZXW = is obtuse.

  4. –48°–48° Example 3: Using the Angle Addition Postulate mDEG = 115°, and mDEF = 48°. Find mFEG mDEG = mDEF + mFEG  Add. Post. 115= 48+ mFEG Substitute the given values. Subtract 48 from both sides. 67= mFEG Simplify.

  5. An angle bisector is a ray that divides an angle into two congruent angles. JK bisects LJM; thus LJKKJM.

  6. KM bisects JKL, mJKM = (4x + 6)°, and mMKL = (7x – 12)°. Find mJKM. Example 4: Finding the Measure of an Angle

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