Final answer:
To find the missing variables, use the properties of parallel lines and transversals. Identify the known values and apply the parallel line angle theorem.
Step-by-step explanation:
To find the missing variables in this problem, we need to use the information about parallel lines and transversals. Identify the known values in the figure and use the properties of parallel lines.
- In part (a), we have xf = 6.70 km and x = 4.70 km. Since the lines are parallel, the corresponding angles are equal. Use the parallel line angle theorem to find the value of a: 6.70 + a = 180°. Solve for a to find the missing variable.
- In part (b), we have x'ƒ = 3.75 km and x'o = 5.25 km. Again, use the parallel line angle theorem to find the missing variable: 3.75 + x = 180°. Solve for x to find the missing variable.
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