Question

write a two - column proof. given: m∠gfi = 118°. prove: m∠efi = 33°. statements: 1. m∠gfi = 118°. 2. m∠gfe + m∠efi = m∠gfi. 3. m∠gfe + m∠efi = 118°. 4. m∠gfe=(8x - 3)°, m∠efi = 3x°. 5. 8x - 3+3x = 118. 6. □ = 118. reasons: 1. given. 2. angle addition postulate. 3. substitution property, (steps 1, 2). 4. given. 5. substitution property. 6. combine like terms.

Explanation:

Step1: Combinar términos semejantes

$(8x - 3)+3x=8x+3x - 3=11x - 3$

Step2: Resolver para x

$11x-3 = 118$
$11x=118 + 3$
$11x=121$
$x = \frac{121}{11}=11$

Step3: Encontrar m∠EFI

Como m∠EFI = 3x, sustituimos x = 11
m∠EFI=3×11 = 33°

Answer:

33°