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Geometry Angle Vocabulary Review – Chapter 1

Geometry Angle Vocabulary Review – Chapter 1. A B C D E F. Name an angle in different ways. ID the vertex of an angle. ID the sides of an angle. ID points as being on the angle, interior of the angle or exterior of the angle.

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Geometry Angle Vocabulary Review – Chapter 1

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  1. Geometry Angle Vocabulary Review – Chapter 1

  2. A B C D E F Name an angle in different ways. ID the vertex of an angle. ID the sides of an angle. ID points as being on the angle, interior of the angle or exterior of the angle. ID adjacent angles ID nonadjacent angles ID a linear pair Name and ID parts of angles

  3. Measure and Draw with a protractor 8. Draw an angle that measures 75 degrees.

  4. Find measures of angles 9. Find the m < FEH if m < FEG = 52 and m < GEH = 31. 10. If ray EH bisects < IEF and m < HEF = 57, find the measure of < HEI 11.If m < GEI = 90 and m < HEI is 42, find m < GEH. F G E H I

  5. Classify Angles • Acute • Obtuse 12. • Right • Straight 13. 14. 15.

  6. Complementary Angles • Two angles whose sum is 90 degrees. • The two angles may be adjacent but they can also be next to each other. • Two complementary angles bisected will always create two 45 degree acute angles. • Two complementary angles will each always be acute. 28 62

  7. Complementary Angle Examples 15. If angle C is 43 degrees, find the measure of its complement. 16. Angles 1 and 2 are complementary. If m<1 = 3x + 2 and m<2 = 2x + 3, find the value of x and the measurement of each angle.

  8. Supplementary Angles 32 148 • Two and only two angles whose sum is 180 degrees. • Angles can be adjacent or nonadjacent. • Supplementary angles bisected create two 90 degree angles. • Supplementary angles will always be one acute and one obtuse unless a bisection occurs.

  9. Supplementary Angle Examples 17. Angle K measures 152 degrees. Find its supplement. 18. Angles J and K are supplementary. Find the value for x and the measures of the two angles if m<J = x and m<K = x - 60.

  10. Vertical Angles • Two lines intersect in a single point. • The intersection creates four angles. • The angles that are nonadjacent are called vertical angles and are congruent.

  11. 19. Solve for x. 125 x 20. Solve for x. (5x - 15) (3x + 1) Vertical Angle Examples

  12. Complementary and Supplementary Extension Examples 21. Find the measure of an angle that is complementary to angle B if angle B = angle E and the measure of angle E = 43 degrees. 22. If angle 1 is complementary to angle 3, angle 2 is complementary to angle 3, and the measure of angle 1 = 42, what are the measures of angle 2 and 3?

  13. 23. If angle 2 = angle 3 and the measure of angle 2 = 55, find the measure of an angle that is supplementary to angle 3. 24. If angle RST is supplementary to angle TSU, angle VSU is supplementary to angle TSU, and the measure of angle TSU = 62, find the measures of angles RST and VSU.

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