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 alternate exterior angles with angle 11? Angle5 and Angle13 Angle7 and Angle15 Angle6 and Angle16 Angle8 and Angle14

Answer 1

Step-by-step explanation:

See diagram attached, sorry, t and u should have been drawn parallel.

Please use your imagination!

First check if the angle numbers are as you expect, since the instructions are clear, but may have been interpreted differently.

Alternate exterior angle means a pair of angles both OUTSIDE of a pair of parallel lines (r and s) BUT on opposite sides of a transversal (t or u).

From the diagram and definition of alternate exterior angles, we conclude:

Angle  Alternate exterior angle

11          13, 5

5          11

13         11

7           1, 10

15         1

6          (inside of both sets of parallel lines, internal alt. angles are 4 and 12)

16         (inside of both sets of parallel lines, internal alt. angles are 2 and 10)

8          2, 10

14         4, 12