Question

the piece of art below was created with strings of different lengths strung in straight - line segments across the canvas. angle 1 and angle 2 are formed by the intersection of different strings, but both angles have a measure of 72°. which statement about the geometric relationships formed by the strings in the art must be true? angle 1 and angle 2 are complementary angles. angle 1 and angle 2 are vertical angles. line t and line n are perpendicular. line s and line t are parallel.

Explanation:

Vertical angles are formed by two intersecting lines and are equal in measure. Since Angle 1 and Angle 2 have the same measure of 72°, they are vertical angles. Complementary angles add up to 90°, and since 72°+72°≠90°, they are not complementary. There is no indication from the given information that any of the lines are parallel or perpendicular.

Answer:

Angle 1 and Angle 2 are vertical angles.