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ramps a parking garage ramp rises to connect two horizontal levels of a…

Question

ramps a parking garage ramp rises to connect two horizontal levels of a parking lot. the ramp makes a 10° angle with the horizontal. what is the measure of angle 1 in the figure?

Explanation:

Step1: Identify Parallel Lines and Transversal

Level 1 and Level 2 are horizontal, so they are parallel. The ramp (or the line connecting the two horizontal levels) is a transversal.

Step2: Use Alternate Interior Angles Theorem

The \(10^\circ\) angle and angle 1 are alternate interior angles. By the Alternate Interior Angles Theorem, alternate interior angles are equal when two parallel lines are cut by a transversal. So angle 1 is equal to \(10^\circ\).

Answer:

\(10^\circ\)