Answer:
x = 23
Explanation:
Same-side interior angles are supplementary (they add to 180°).
Using this knowledge, we can construct the equation:
(2x + 25)° + (3x + 40)° = 180°
First, combine like terms.
(2x + 3x)° + (25 + 40)° = 180°
5x° + 65° = 180°
Next, subtract 65° from both sides.
5x° = (180 - 65)°
5x° = 115°
Then, divide both sides by 5.
x° = (115/5)°
x° = 23°
Finally, remove the degrees from both sides.
x = 23