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Sagot :
Answer:
- See below
Step-by-step explanation:
#1
- m∠CDF = m∠5 + m∠1 = 42° + 117° = 159°
#2
- m∠FDE = m∠FDG - m∠3 = 90° - 73° = 17°
#3
m∠ABC = m∠ABF + ∠mFBC
- 159 = 7x + 20 + 2x - 5
- 159 = 9x + 15
- 9x = 159 - 15
- 9x = 144
- x = 144/9
- x = 16
#4
m∠EBC = m∠DBC - m∠DBE
- 3x + 13 = 12x - 3 - 5x - 12
- 3x + 13 = 7x - 15
- 7x - 3x = 13 + 15
- 4x = 28
- x = 7
m∠EBC = 3*7 + 13 = 21 + 13 = 34°
#5
m∠FBE = m∠FBC + m∠CBE and m∠FBC = m∠CBE
m∠FBE = 2m∠CBE
- 10x - 9 = 4x + 15
- 10x - 4x = 15 + 9
- 6x = 24
- x = 4
m∠FBE = 2*(4*4 + 15) = 2*31 = 62°
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