Respuesta :
Answer:
F=95; S=49.
Step-by-step explanation:
Note that when writing similar triangles, the angles correspond. Also note that in similar triangles, the angle measures remain the same.
In other words, since we know: [tex]\Delta ABC \sim \Delta DE F[/tex], this means that angles A and D have the same measure, angles B and E have the same measure, and angles C and F have the same measure.
Thus, for #32, We can substitute A=46 and B=39 for D=46 and E=39. We can then find F which equals 180-46-39=95.
Similarly, for #33, we know that R=89 and Z=T=42. Thus, we can find S which equals 180-89-42=49.
Answer:
C = 95
S = 49
Step-by-step explanation:
The sum of the angles of a triangle add to 180
A+ B+ C = 180
46+ 39+ C = 180
C = 180 -46 - 39
C =95
And since the triangles are similar A=D B = E C = F
Angle F =C = 95
The sum of the angles of a triangle add to 180
And since the triangles are similar R=X S = Y T = Z
R+S+T= 180
89+ S+42 = 180
S = 180 -89-42
S =49
S = 49