Question

What is angle E and what is the process finding it?

Answer 1

Answer: 39 degrees

Step-by-step explanation: The angle sum of a triangle is 180 degrees so we take 102 from 180.

180-102=78

Since the two angles are the same then we just divide 78 by 2

78/2=39

Answer 2

Answer:

∠E ≈ 37°

Step-by-step explanation:

Using the Sine Rule in ΔEFG, that is

$\frac{26}{sinE}$ = $\frac{42}{sin102}$ ( cross- multiply )

42 × sinE = 26 × sin102° ( divide both sides by 42 )

sinE = $\frac{26(sin102)}{42}$ ≈ 0.6055..

E = $sin^{-1}$ (0.6055 ) ≈ 37°