Answer:
1 = 35, 2 = 30
Explanation:
To find one of the x angles, where the triangles touch or where an x is created, we can subtract 115 from 180 (as you can see, 155 and one of the triangle angles add up to a straight line). This will equal 65, and since the triangles create vertical angles, both angles are 65.
Let's solve for angle one. In this triangle, we have measures 80 and 65. All angles in a triangle sum up to 180, so we can subtract 80 and 65 to get 180 - (80+65) which is 35.
Let's solve for angle one. In this triangle, we have measures 85 and 65. All angles in a triangle sum up to 180, so we can subtract 85 and 65 to get 180 - (85+65) which is 30.
Also, I didn't base this off the fact that the two triangles were similar because similar triangles have proportional side lengths but congruent angles. And the triangles had different angles, so I assumed that they weren't similar.