Answer:
Explanation:
We can use basic angle relationships to find which statements are true.
Since we know that the horizontal line is being intersected by two vertical lines that are parallel, we know the corresponding angles are equivalent.
A can’t be true because alternate exterior angles come from the same line. 4 and 7 are from two different lines.
B can’t be true because the 50° angle and 1 and 2 are supplementary. In order for 1 and two to be complementary, the 50° angle would have to be 90°. So this isn’t true.
C must be true because angles 8 and 5 come together to form one of the parallel lines that intersects the horizontal line. Since it’s a line intersection, the two angles must be supplementary.
D must be true because we have two angles that are formed by parallel lines intersecting the same line. Since the lines are parallel, the angles on either side are equivalent. These are called corresponding angles.
E must be true because the angles are equivalent to each other. 5 and 7 are equivalent, and so are 8 and 6. Therefore, these are vertical angles.
Hope this helped!