Answer:
m<YXW = 36 degrees
Explanation:
Hi there, Daniel!
To answer this question, the biggest thing you need to know is the definition of the word 'bisect'. To bisect means to cut into equal parts, which means that m<YXV and m<VXW are the same. This is because the problem states that XV bisects <YXW, which means it cuts it in half.
Since the two angles are the same, their equations must equal the same thing. This makes:
3x = 2x + 6
And then from there you subtract 2x from both sides to get x = 6.
But we're not done yet! This is just the X value, and notice how the angles themselves are '3x' and '2x + 6', not just x. All we have to do is multiply x by 6 (you can also plug it into the 2x + 6 equation just to check that it's correct), which gives us 18.
Now, what does the problem ask? It asks us to find m<YXW. For that, we must multiply what we got for m<YXV (18 degrees) by two, since both angles are the same. After doing that, we get 36 degrees, which is our final answer.
Hope this helped!
Here is my work btw: