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 the relationship between angles

The two horizontal levels (Level 1 and Level 2) are parallel, and the ramp is a transversal. The $10^\circ$ angle and angle 1 are same - side interior angles.

Step2: Use the property of parallel lines and transversal

For two parallel lines cut by a transversal, the sum of same - side interior angles is $180^\circ$. Let the measure of angle 1 be $x$. Then we have the equation $x + 10^\circ=180^\circ$.

Step3: Solve for angle 1

To find $x$, we subtract $10^\circ$ from both sides of the equation: $x = 180^\circ- 10^\circ=170^\circ$.

Answer:

$170^\circ$