Question

Answer 33 and 34.I need helo with those two

Answer 1

C = 95

S = 49

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

Answer 2

F=95; S=49.

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:
`\Delta ABC \sim \Delta DE F`, 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.