Answer: The angles are classified as interior angles, where x=9
Explanation:
The angle measure of a straight line is 180°, meaning that 7x-10 and 12x+19 must add up to 180.
It is clear from the visual that the former is an acute angle, and the latter is an obtuse angle. This means that when solving each, 7x-10 must be less than 90, and 12x+19 must be greater than 90, but less than 180.
If you set up the equation to solve for x; (7x-10) + (12x+19) = 180, you must combine like terms.
19x+9=180 is the new equation. Since x needs to be isolated, subtract 9 from each side, to get 19x=171. Dividing each side by 19 results in x=9.