Question

Find the value of x in the triangle shown below.
2 =
10
116°
10
17

Answer 1

I think the answer is 244

Explanation:

because I have learned that the total area is 360° so 360 - 116=244

Answer 2

x ≈ 32°

Explanation:

Using the Sine rule in the triangle

`(17)/(sin116)` =
`(10)/(sinx)` ( cross- multiply )

17 × sinx° = 10 × sin116° ( divide both sides by 17 )

sinx° =
`(10sin116)/(17)` , then

x =
`sin^(-1)` (
`(10sin116)/(17)` ) ≈ 32° ( to the nearest degree )