Question

Are the two triangles below similar? Triangles ABC and DEF are shown. Angle A equals 84 degrees, Angle C equals 38 degrees, Angle F equals 38 degrees, Angle E equals 58 degrees, side BC equals 12, side ED equals 6, side FD equals 8.

Answer 1

the answer is yes; they have congruent corresponding angles. i got this right on my test, your welcome :)

Answer 2

Yes. They are similar

Explanation:

Given are two triangles ABC and DEF

ABC triangle has angle A =84, C=38

Hence angle B = 180-(84+38)=58

Consider triangle DEF

Angle F=38, Angle E =48, Hence

Angle D=180-(38+58)=84

We find that in the triangles ABC and DEF

Angle A= D

B=E

C=F

Since angles are congruent the two triangles are similar.'