In acute triangle DEF it is known that m/D=72, DE =7, and EF = 12. To the nearest degree mLF=

2 answers

by the law of sines,
sinF/7 = sin72°/12
sinF = 0.5547
F = 33.7°
Simple case of the sine law.
After you make you sketch , you should see that

sin F/7 = sin 72°/12
sin F = .5547...
angle F = appr 33.7°
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