Answer: m∠V = 28°
Explanation:
We know that a triangle's angles add up to 180. We will create an equation to solve for x. Then, we will substitute it back into the expression for angle V and simplify.
Given:
(9x - 8) + (2x + 2) + (3x + 4) = 180°
Simplify:
9x - 8 + 2x + 2 + 3x + 4 = 180°
Reorder:
9x + 2x + 3x - 8 + 2 + 4 = 180°
Combine like terms:
14x - 2 = 180°
Add 2 to both sides of the equation:
14x = 182°
Divide both sides of the equation by 13:
x = 13
---
m∠V = 2x + 2
m∠V = 2(13) + 2
m∠V = 28°