Question

HELP MEH
I can't figure this out. Please explain

Answer 1

x=33 (since it says to round it)

Explanation:

This is an ASA triangle.

First, we need to find the value of the unlabeled angle, which is simple:

180°-70°-76°=34° Lets call that angle A

Now we use the law of sines:

x/sinX = a/sinA

x/sin76° = 19/sin34°

Then:

x = (19/sin34°) × sin76°

x = 32.968

Answer 2

x ≈ 33.0

Explanation:

The third angle in the triangle is

180° - 70° - 76° = 180° - 146° = 34°

Using the Sine rule in the triangle

`(x)/(sin76)` =
`(19)/(sin34)` ( cross- multiply )

x × sin34° = 19 × sin76° ( divide both sides by sin34° )

x =
`(19sin76)/(sin34)` ≈ 33.0 ( to the nearest tenth )