3C Pairs of Angles 1. Vertical angles Statements Name______________________________________ Reasons 2. Conditional Statement: If two angles are vertical, then they are congruent. Converse: Inverse: Contrapositive: 3. Given: ∠2≅∠3 Prove: ∠1≅∠4 Statements Reasons True False True False True False True False 1. In the figure shown, m∠AED=4x+2 and m∠BEC=3x+10. What is the value of x? 2. In the figure shown, m∠AED=120°. Which of the following statements is false? A. m∠AEB=60° 3. What are the values of x and y? B. ∠BEC and ∠CED are adjacent angles C. m∠BEC=120° D. ∠AED and ∠BEC are adjacent angles #1-­‐2 5. What is the value of x? 4. m∠ABF=170°, m∠ABC=21°, 6. m∠WOK is 28 more than m∠DBE=19°, m∠EBF=23°. What is m∠ROK. What is m∠ROK ? m∠CBD? 8. m∠HAE=(x+24)° and 7. What is the value of x? 9. What is m∠1? m∠DAS=(2x-­‐8)°. What is m∠DAS? What are all valid angle relationships between each pair of angles? 10. ∠EFA and ∠AFB 11. ∠KGC and ∠DGC 12. ∠BFG and ∠EFJ 13. ∠DGH and ∠FGK 14. ∠EFI and ∠JFI 15. Given: ∠1 and ∠2 are complementary. What is the value of x if m∠1=3x-­‐53 and m∠2=2x-­‐17? 16. Given: ∠3 and ∠4 are form a 17. Given: ∠5 and ∠6 are vertical angles. linear pair. What is the value of x if What is the value of x if m∠3=3x-­‐53 and m∠4=2x-­‐17? m∠5=3x-­‐53 and m∠6=2x-­‐17?