How do I answer these problems correctly?
Geometry Name_________________________ Worksheet 9-29-2020 #2 Fill in the blanks. 1. If m CBE = 45 ° and m EBF = 17 °, then m CBF = _____.2. If CG = 19 and DG = 5, then CD = _____.
3. If m CGF = 128 °, then m CGA = _____.
4. If BG = 7 and GF = 4, then BF = _____.
5. If m AGH = 39 °, then m EGF = _____.
6. If m CGH = 91 ° and m CGA = 46 °, then m AGH = _____.
Use the figure for questions 1-6 to find the value of x.
7. EG = 2 x – 11, GH = x + 4, EH = 23 8.
m CGE = 4x – 5, m CGA = 2x – 1, m AGE = 132 9. m ABI = 4x – 1, m EBF = 6x – 15 10. m AGE = 13 x + 36, m AGH = 3x 11. DG = x + 1, CD = x + 5, CG = 3 x 12. m ABI = 4x + 1, m IBH = 7x + 3, m ABH = 9x + 14 Given: FG = 2 x + 3 GH = 4 x FH = 7x – 1 Find the following. 13. FG 14. GH 15. FH A B C D E F G H I F G H Complete the proof. Given: ⃗ bisects IJG Prove: m IJG = 2 m HJG Statement Reason 1. ⃗ bisects IJG 1. Given 2.(16.) 2. Definition of bisector 3.
m HJG = m IJH 3.(17.) 4.(18.) 4. Angle Addition Postulate 5.
m HJG + m HJG = m IJG 5.(19.) 6.
2m HJG = m IJG 6. Substitution property 7.
m IJG = 2 m HJG 7.(20.) I H G J
