8.B So lets look at the possibilities we wrote and see how many have a sum of 7. (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
So out of 36 possibilities, 6 of them have a sum of seven P(sum of 7)=6/36 simplify to 1/6
Using the Side Angle Side (SAS) theorem, we can say thath both triangles are congruent.
The Side Angle Side theorem states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, both triangles are congruent.
Here have two given sides and the angles opposite each other(vertical angles) are congruent. Thus, both triangles are congruent.