Math Geometry help

Question

At right are several roads that will be built as part of a new hospital complex. The angle at which Road 1 needs Road 2 is twice the measure of the angle at which Road 2 meets Road 3. Fill in the missing angle measures on the diagram.Write and solve equations to justify your answer.

Answer 1

To solve this, let x represent the angle where Road 2 meets Road 3. Since the angle where Road 1 meets Road 2 is twice as large, that angle would be 2x.

Next, use the angle relationships shown in the diagram. If the two angles form a straight line, they must add up to 180 degrees:

x + 2x = 180

3x = 180

x = 60

Therefore, the two angles would be 60 degrees and 120 degrees.

However, this answer assumes the angles form a straight line. I'd need to see the diagram to confirm the exact angle measures.