Question

Please hurry 20points

What is the measure of angle E?
m∠E = °
What is the length of EF rounded to the nearest hundredth?
EF ≈

Answer 1

m<E=55

Hope this helps!

Answer 2

Measure of angle E is 55°

Length of the side EF is 12.49 units

Explanation:

We are given the triangle EDF with angle measures ∠D = 43° and ∠F = 82°.

As, we know, The sum of the measures of angles in a triangle is 180°.

So, we have,

∠E + ∠D + ∠F = 180°

i.e. ∠E + 43° + 82° = 180°

i.e. ∠E = 180° - 125°

i.e. ∠E = 55°

Thus, the measure of angle E is 55°.

Further we have,

`(15)/(\sin 55)=(EF)/(\sin43)`

i.e.
`EF=(15* \sin43)/(\sin 55)`

i.e.
`EF=(15* 0.682)/(0.819)`

i.e.
`EF=(10.23)/(0.819)`

i.e. EF = 12.49 units

Thus, the length of the side EF is 12.49 units.