Question

Please help! I'm really confused.

Answer 1

Answer:

First option is correct.

Step-by-step explanation:

In triangle ABC, $\angle A=8x-2$, $\angle B=2x-8$ and $\angle C=94-4x$.

According to angle sum property of a triangle, the sum of interior angles of a triangle is 180 degree.

$\angle A+\angle B+\angle C=180^{\circ}$

$8x-2+2x-8+94-4x=180$

$6x+84=180$

$6x=96$

Divide both sides by 6.

$x=16$

Therefore the value of x is 16. The measure of angles are

$\angle A=8(16)-2=126$

$\angle B=2(16)-8=24$

$\angle C=94-4(16)=30$

The opposite angle of shortest side is always smallest interior angle. Similarly the opposite angle of longest side is always largest interior angle.

$\angle B$

$AC$

Therefore option 1 is correct.

Answer 2

In case you still need the answer, I can help.

Let's take a look at what the line segments would look like with those angles.
https://www.desmos.com/calculator/sfsty752zk

I used that site and entered the angles like so:
http://imgur.com/a/o7ChV

This is the triangle it made:
http://imgur.com/a/BPQUp

Here I have labeled it for you:
http://imgur.com/a/CV6Nm

In case it wasn't clear, here's the colors to letters:

AB: Green
AC: Red
BC: Blue

AB is the longest.
AC is the second longest.
BC is the shortest.

I don't know exactly how to explain this, but I believe the answer is:

AB, AC, BC

Hope this helps you and hopefully I'm not too late :)