Answer:
Step-by-step explanation:
If the angles exist in a ratio, that means that if you multiply each angle by the same number, they will still exist in that same ratio. We know that the angles of a triangle all add up to equal 180, so we can set up an equation using the numbers from the ratio and x as the unknown multiplier:
2x + 9x + 4x = 180 and
15x = 180 so
x = 12 ∴ (that means "therefore")
2x = 24,
9x = 108, and
4x = 48
