A pair of parallel lines is cut by a transversal: A pair of parallel lines cut by a transversal is shown. The inside bottom righ
t angle is labeled 80 degrees. The alternate interior angle is cut by a ray and is labeled as x on one side and 20 degrees on the other. What is the measure of angle x? 60 degrees 70 degrees 80 degrees 100 degrees
Answer: This question should be thrown out. "Alternate interior angle" might mean any of the other three angles. Two of them are 100 degrees, so the answer would be 80 degrees, and one is 80 degrees, so the answer would be 60 degrees. Flip a coin three times and pick 60 degrees if you get THH, HTH, or HHT. Otherwise pick 80.
Step-by-step explanation:
At the intersection of any two lines, opposite angles are equal, so there are only two different angles and they add to 180. When a line crosses two parallel lines, there are still only two possible angles.