Question

Parallel lines r and s are cut by two transversals, parallel lines t and u.

Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16.

Which angles are corresponding angles with angle 8?

Answer 1

In the given diagram, line t is a transversal that intersects parallel lines r and s, and angle 8 is formed by the intersection of line t and parallel line s. Corresponding angles are formed when a transversal intersects two parallel lines, and they are located in corresponding (i.e., identical) positions relative to the two parallel lines.

Therefore, the corresponding angle to angle 8 would be angle 2, which is located in the same relative position as angle 8 with respect to parallel lines r and s, and transversal line t.