Question

PLEASE HELPP MEEE!! I will give brainliest

Answer 1

Answer:

The 3rd one

Step-by-step explanation:

Let find angle z

Using law of sines

$\frac{xy}{ \sin(z) } = \frac{xz}{ \sin(y) }$

Plug in the numbers

$\frac{43}{ \sin(x) } = \frac{40}{ \sin(68) }$

Flip both equations

$\frac{ \sin(x) }{43} = \frac{ \sin(68) }{40}$

where z=85.4 or 94.6

Using the triangle interior sun theorem,

if z=85.4 let add up all so The first 2 are rules out angles to make sure they add up to 180.

$if \: z = 85.4$

$85.4 + 68 + x = 180$

$x = 153.4$

$x = 26.6$

The fourth one doesnt have 26.6 as a angle so it cant be that

Let try if z=94.6

$68 + 94.6 + x = 180$

$162.6 + x = 180$

$x = 17.4$

The third one has that.

Also we reuse law of sines YZ=12.9 so it is the third one.