Answer:
Answers rounded to nearest tenth
EF = 6.0
EG = 6.7
m∠F = 48°
Step-by-step explanation:
m∠F = 180° - 42° since the three angles must add up to 180°
By the law of sines, the ratio of the sides to the sine of the angles opposite them must be equal for all sides and angles
[tex]\dfrac{FG}{\sin 90} = \dfrac{EF}{\sin 42} = \dfrac{EG}{\sin 48}\\\\\dfrac{9}{\sin90} = \dfrac{EF}{\sin 42}\\\\\sin 90 = 1\\\\9 = \dfrac{EF}{\sin 42}\\\\EF = 9 \sin 42 = 6 \\\\\\Similarly\;EG = 9 \sin 48 = 6.688 = 6.7 \;rounded[/tex]
