Answer :
Final answer:
To find the measures of the marked angles formed by a pair of parallel lines and a transversal, solve the given equations. Combine like terms and set the equation equal to find the value of x, and substitute it back to find the measures of the angles.
Explanation:
A pair of parallel lines cut by a transversal creates several angles. In this case, the two marked angles are 3x + 10x + 17 and a - 11.29 degrees. To find the measures of these angles, we need to solve the equations.
First, combine like terms for the angle 3x + 10x + 17. This simplifies to 13x + 17.
Next, set the equation for angle 3x + 10x + 17 equal to a - 11.29. Solve for x and substitute its value back into the equation for the angle to find its measure.
