From your description, it seems like you're working with a diagram where two parallel streets, A and B, form various angles. Specifically, you are asked to find the measure of angle 4, given that angle 5 is 35° and angle 6 is 145°.

Let's break it down based on what we know about parallel lines and transversals:

1. Angles 5 and 6 are consecutive interior angles formed by a transversal cutting across the two parallel streets. When two parallel lines are cut by a transversal, the consecutive interior angles are supplementary, meaning their sum is 180°.

   Therefore, we can write the equation: $\text{Angle 5} + \text{Angle 6} = 180^\circ$ Substituting the given values: $35^\circ + 145^\circ = 180^\circ$ This checks out, so we have confirmed the relationship between angle 5 and angle 6.

2. Angle 4 is an alternate interior angle to angle 5. Since angle 5 and angle 4 are alternate interior angles (which are congruent when parallel lines are involved), we know that: $\text{Angle 4} = \text{Angle 5}$ Therefore, the measure of angle 4 is also: $\boxed{35^\circ}$

Would you like any further clarification or additional steps? Let me know if you need anything else!

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Related questions:

1. How do alternate interior angles work with parallel lines?
2. What are supplementary angles, and how are they related to parallel lines?
3. Can you find other angle relationships when two parallel lines are cut by a transversal?
4. What is the difference between consecutive interior and alternate interior angles?
5. How can we use the angle sum property of a triangle to find missing angles?

Tip:

Remember, alternate interior angles are always equal when the lines are parallel, and consecutive interior angles always sum to 180°.