Question

Find the measure of angle E.

Answer 1

the triangles are similar
triangle STU ~ triangle DEF
angles are congruent in similar triangles
angle S corresponds with angle D
180-46-29=105
measure of angle E= 105

Answer 2

105.142 degrees

Explanation:

D=28.858°

E=105.142°

F=46°

Side a = 8

Side b = 4

Side c = 5.9617

Angle ∠A = 105.142° = 105°8'31" = 1.83507 rad

Angle ∠B = 28.858° = 28°51'29" = 0.50367 rad

Angle ∠C = 46° = 0.80285 rad