I'm assuming you mean triangle angles?
If so, all angles add up to 180 so combine them and set them equal to 180.
51+82+5x+2=180
135+5x=180
5x=45
x=9
It is an acute triangle because none of its angles are equal to (right) or above (obtuse) 90 degrees.
It's a cube so x should also equal 6
Answer:
p > 5 and p <-8
Step-by-step explanation:
To solve this, you first need to isolate p.
First add 6 on both sides of the equation:
![-6 + |2p+3| >7\\\\(+6) -6 + |2p+3| >7 +6\\\\2p + 3 > 13](https://tex.z-dn.net/?f=-6%20%2B%20%7C2p%2B3%7C%20%3E7%5C%5C%5C%5C%28%2B6%29%20-6%20%2B%20%7C2p%2B3%7C%20%3E7%20%2B6%5C%5C%5C%5C2p%20%2B%203%20%3E%2013)
Then subtract 3 from both sides of the equation.
![2p+3-3>13-3\\\\2p > 10\\](https://tex.z-dn.net/?f=2p%2B3-3%3E13-3%5C%5C%5C%5C2p%20%3E%2010%5C%5C)
The divide both sides by 2.
![\dfrac{2p}{2}>\dfrac{10}{2}\\\\p>5](https://tex.z-dn.net/?f=%5Cdfrac%7B2p%7D%7B2%7D%3E%5Cdfrac%7B10%7D%7B2%7D%5C%5C%5C%5Cp%3E5)
Another solution is possible because of the absolute value.
If ![|2p+3|>13](https://tex.z-dn.net/?f=%7C2p%2B3%7C%3E13)
Then ![|2p+3|](https://tex.z-dn.net/?f=%7C2p%2B3%7C%3C-13)
<em>Thus we can solve the second solution:</em>
![|2p+3|](https://tex.z-dn.net/?f=%7C2p%2B3%7C%3C-13)
![2p+3](https://tex.z-dn.net/?f=2p%2B3%3C-13)
Isolate P again by subtracting both sides by 3
![2p+3-3](https://tex.z-dn.net/?f=2p%2B3-3%3C-13-3)
![2p](https://tex.z-dn.net/?f=2p%3C-16)
Then divide both sides by 2:
![\dfrac{2p}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7B2p%7D%7B2%7D%3C-%5Cdfrac%7B16%7D%7B2%7D)
![p](https://tex.z-dn.net/?f=p%3C-8)