In the triangle ABC, if a = 80, B = 100, and a = 45 degrees, how many solutions does the triangle have? Method of solving

In the triangle ABC, if a = 80, B = 100, and a = 45 degrees, how many solutions does the triangle have? Method of solving

First draw the angle a = 45 ° and then cut AC = b = 100 on one side of the angle, then make a circle with C as the center and 80 length as the radius, and intersect the other side at B, then △ ABC is obtained
In this problem, we need to consider the number of intersections of a circle on the other side, one intersection point and one solution
Intersection and two points, two solutions
There is no solution to the problem
(you can make a vertical line on the other side through C to see the relationship between the size of the vertical line and 80)
Answer: two solutions!