Geom 1point6
- 1. Angles Pair Relationships Objectives: - Identify vertical angles and linear pairs - Identify complementary and supplementary angles
- 2. Vertical Angles Two angles are vertical angles if their sides form 2 pairs of opposite rays. Angles 1 and 3 are vertical angles. Angles 2 and 4 are vertical angles. 4 1 3 2
- 3. Linear Pairs Two adjacent angles are a linear pair if their noncommon sides are opposite rays. Angles 5 and 6 are a linear pair 5 6
- 4. Vertical Angles Solve for x and y. Then find the angle measures. (3x + 5) + (x + 15) = 180 4x + 20 = 180 4x = 160 X = 40 y + 20 3x + 5 4y - 15 x + 15 All numbers are in degrees
- 5. Vertical Angles Solve for x and y. Then find the angle measures. (y + 20) + (4y - 15) = 180 5y + 5 = 180 5y = 175 y = 35 y + 20 3x + 5 4y - 15 x + 15 All numbers are in degrees
- 6. Vertical Angles Solve for x and y. Then find the angle measures. 3x + 5 = 3*40 + 5 = 125 X + 15 = 40 + 15 = 55 Y + 20 = 35 + 20 = 55 4y - 15 = 4*35 - 15 = 125 The vertical angles are congruent y + 20 3x + 5 4y - 15 x + 15 All numbers are in degrees
- 7. Complementary & Supplementary Angles Two angles are complementary if the sum of their measures is 90º. Each angle is the complement of the other. Two angles are supplementary if the sum of their measures is 180º. Each angle is the supplement of the other.
- 8. Complementary & Supplementary Angles Complementary and supplementary angles can be adjacent or nonadjacent Draw 2 angles that are complementary adjacent. Draw 2 angles that are complementary nonadjacent. Draw 2 angles that are supplementary adjacent. Draw 2 angles that are supplementary nonadjacent.
- 9. Complementary & Supplementary Angles If Angle A and Angle C are complements, and Angle A measures 57 degrees, what does Angle C measure? If Angle R and Angle Q are supplements, and Angle R measures 47 degrees, what does Angle Q measure? If Angle W and Angle Z are complementary, and the measure of Angle Z is five times the measure of angle W, what is the measure of Angle W?
- 10. Do page 47 4-27 Homework: worksheets