A child's toy consists of two parallel posts supporting three ramps for rolling a wooden car. Ramp 1 is parallel to ramp 3.
Picture not drawn to scale.
The angle formed by ramp 1 and the left post is 72°, while the angle formed by ramp 2 and the left post is 68°. What is the measure of angle X?
A.
162°
B.
158°
C.
108°
D.
112°
Since ramp 1 is parallel to ramp 3, and angle X is formed by ramp 1 and ramp 3, we can use the property that when two parallel lines are cut by a transversal, alternate interior angles are congruent. Therefore, angle X is also congruent to the angle formed by ramp 2 and the right post, which is 68°.
Therefore, the measure of angle X is 68°.
Answer: \boxed{68\text{\degree}}