Final answer:
To solve for x, the expressions (6x+20)° and (8x-10)°, which represent angles related to parallel lines m and n, are set equal to each other and simplified. After rearranging and combining like terms, the value of x is determined to be 15.
Step-by-step explanation:
The question involves finding the value of x when given that lines m and n are parallel and you have two expressions representing angles, (6x+20)° and (8x-10)°, that are likely associated with these parallel lines. Since the lines are parallel, corresponding angles made by a transversal with these lines are congruent. So, we set the expressions equal to each other to find x: 6x + 20 = 8x - 10. Solving for x involves combining like terms and isolating x on one side of the equation.
To solve for x, subtract 6x from both sides to get: 20 = 2x - 10. Next, add 10 to both sides to get: 30 = 2x. Finally, divide both sides by 2 to find x: x = 15.