Answer:
Angle2 = angle _6__because their corresponding angles of parallel lines cut by traversal
Angle 5 =angle 8 by vertical angle theorem.
Step-by-step explanation:
Corresponding angles:
If two lines are parallel and a transversal intersect at two points of the parallel lines then we have corresponding angles are equal.
In the figure the corresponding pair angles given below are equal :
angle 2 and angle 6
angle 4 and angle 8
angle 1 and angle 5
angle 3 and angle 7
Vertical angle theorem:
If two lines intersect each other then vertical opposite angles are equal.
In the figure the pair of vertical angles which are equal are
angle 2 and angle 3
angle 1 and angle 4
angle 5 and angle 8
angle 6 and angle 7
Angle2 = angle _6__because their corresponding angles of parallel lines cut by traversal
Angle 5 =angle 8 by vertical angle theorem.
