Answer:
Angle SRT = 32 degrees
RS = 15.7 cm
ST = 13.9 cm
Step-by-step explanation:
The sum of the angles in a triangle = 180 degrees
To find angle R -> 120+28+r=180, r = 32 degrees
You could solve this by using the law of sines or the law of cosines
Law of sines: [tex]\frac{sin A}{A} = \frac{sin B}{B} = \frac{sin C}{C}[/tex]
To find RS: [tex]\frac{sin 120}{25.6} = \frac{sin 32}{RS}[/tex], which gives you about 15.66 (rounded to nearest tenth = 15.7 cm)
To find ST: [tex]\frac{sin 120}{25.6} = \frac{sin 28}{ST}[/tex], which is about 13.87 (rounded to nearest tenth = 13.9 cm)
