U

△WFI≅△EAU. If
m

F
=
7
7

m∠F=77

and
m

W
=
3
7

m∠W=37

, find
m

U
m∠U.

1 answer

We know that the two triangles △WFI and △EAU are congruent, so their corresponding angles are equal. Thus,

m∠U = m∠A

We are given that m∠F = 77, so

m∠WFI = 180 - m∠F - m∠W = 66

Since △WFI is congruent to △EAU, we know that m∠A = m∠WFI, so

m∠U = m∠A = m∠WFI = 66

Therefore, m∠U is 66 degrees.