Question

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

Answer 1

∠E ≈ 37°

Explanation:

Using the Sine Rule in ΔEFG, that is

`(26)/(sinE)` =
`(42)/(sin102)` ( cross- multiply )

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

sinE =
`(26(sin102))/(42)` ≈ 0.6055..

E =
`sin^(-1)` (0.6055 ) ≈ 37°

Answer 2

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