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Angle Relationships

Angle Relationships. Section 1.7. Warm Up Simplify each expression. 1. 90 – ( x + 20) 2. 180 – (3 x – 10) Write an algebraic expression for each of the following. 3. 4 more than twice a number 4. 6 less than half a number.

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Angle Relationships

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  1. Angle Relationships Section 1.7

  2. Warm Up Simplify each expression. 1.90 –(x + 20) 2. 180 – (3x – 10) Write an algebraic expression for each of the following. 3. 4 more than twice a number 4. 6 less than half a number

  3. Vertical Angles: Two non adjacent angles formed by two intersecting lines.

  4. Name: • Adjacent ∠’s • 2. Linear pairs • 3. Vertical ∠’s

  5. What is the relationship.

  6. Supplementary Angles • Angles that add up to 180 degrees.

  7. Complementary Angles • Angles that add up to 90 degrees.

  8. Find the measure of each of the following. A. complement of F B. supplement of G

  9. Find the measure of each of the following. a. complement of E b. supplement of F

  10. Find x and MEASURE OF ∠AZD

  11. Find x and MEASURE OF ∠AZD

  12. Gh AND jk INTERESECT AT i. FIND THE VALUE OF X AND M∠JIH.

  13. Gh AND jk INTERESECT AT i. FIND THE VALUE OF X AND M∠gik.

  14. FIND M∠egf

  15. FIND x and THE M∠cde.

  16. FIND the MEASURE of each angle. 1. ∠ SOT 2. ∠ POU 3. ∠ ROS 4. ∠ POR 5. ∠ SOU 6. ∠ TOU 7. ∠ POS 8. ∠ UOQ

  17. A. Name 2 pairs of vertical angles. • B. If ray BF bisects ∠ABC, what two angles must be equal. • C. Classify each as acute, obtuse, right or straight. • 1. ∠BAF • 2. ∠FCE • 3. ∠BFA

  18. An angle is 10° more than 3 times the measure of its complement. Find the measure of the complement.

  19. An angle’s measure is 12° more than the measure of its supplement. Find the measure of the angle.

  20. Lesson Quiz: Part I • mA= 64.1°, and mB=(4x – 30)°. Find the measure of each of the following. • supplement of A • 2. complement of B • 3. Determine whether this statement is true or false. If false, explain why. If two angles are complementary and congruent, then the measure of each is 90°.

  21. mXYZ = 2x° and mPQR = (8x - 20)°. 4. If XYZ and PQR are supplementary, find the measure of each angle. 5. If XYZ and PQR are complementary, find the measure of each angle.

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