Respuesta :
Answer:
71.6 degrees
Step-by-step explanation:
We can use the law of sines: [tex]\frac{a}{sinA} =\frac{b}{sinB}=\frac{c}{sinC}[/tex]
Here, we have: [tex]\frac{14}{sin71} =\frac{9}{sinC}[/tex]
Solving for C, we have: 14 * sinC = 9 * sin71 ⇒ C = 37.4 degrees
To find angle D, we take 180 degrees and subtract angles E and C from it:
180 - 71 - 37.4 = 71.6 degrees.
Thus, the answer is 71.6 degrees.
Hope this helps!
Answer:
71.6°
Step-by-step explanation:
CD/sinE = DE/sinC
14/sin(71) = 9/sinC
sinC = 0.60783337
C = 37.43300585
Angle D = 180 - 37.43300585 - 71
Angle D = 71.56699415