Question

What is the measure of angle E?

Answer 1

Answer: 55

Step-by-step explanation: The inside measure of a triangle should be 180 so knowing this subtract 43 and 82 and you get 55.

Answer 2

In the given triangle ∠E = 55° and side EF = 12.49 unit

As we know the sum of all three angles in a triangle is 180°

so ∠E = 180-43-82 = 55°

What is a sine rule?

In a triangle ABC if BC = a, AC = b, AB = c

then $\frac{Sin A}{a} = \frac{sin B}{b} = \frac{SinC}{c}$

From sine rule,

$\frac{sin 43}{EF} = \frac{Sin 55}{15}$

$EF = 15* \frac{Sin43}{Sin55}$

EF = 12.49

Therefore, in the given triangle ∠E = 55° and side EF = 12.49 unit

to get more about the Sine rule visit:

https://brainly.com/question/13983159