Question

restate this so i can understand it Problem 11) x = 16.
- In a right triangle the two acute angles add to 90°. So 3x + (2x + 10) = 90 → 5x + 10 = 90 → 5x = 80 → x = 16.

Answer 1

Here's a simpler, step-by-step explanation:

1. In a right triangle, the two non-right (acute) angles always add up to 90°.
2. The problem gives those angles as 3x and (2x + 10). So we write:
3x + (2x + 10) = 90
3. Combine like terms: 3x + 2x + 10 = 90 → 5x + 10 = 90.
4. Subtract 10 from both sides: 5x = 80.
5. Divide by 5: x = 16.

Check: 3x = 48° and 2x + 10 = 42°, and 48° + 42° = 90°, so x = 16 is correct.