A straight line has an angle of 180. A right angle has an angle of 90. Angle 3 is the same as angle 80°, 6, and 8. Angle 2 is the same as angle 4, 5, and 7. All you have to do is subtract the angle you know from 180, and what will be left off is Angle 3.
Then you find out what angles are the same and you have your answer.
20% is the same as saying 0.2, so if you multiply 0.2 by 240, you should get your answer. Or an alternate way of seeing it is 2 times 24.
In place of t, or theta, I'm going to utilize x instead. So the equation is -3*cos(x) = 1. Get everything to one side and we have -3*cos(x)-1 = 0
Let f(x) = -3*cos(x)-1. The goal is to find the root of f(x) in the interval [0, 2pi]
I'm using the program GeoGebra to get the task done of finding the roots. In this case, there are 2 roots and they are marked by the points A and B in the attachment shown
A = (1.91, 0)
B = (4.37, 0)
So the two solutions for theta are
theta = 1.91 radians
theta = 4.37 radians
Let Amaro has x number of cards,
Mateo = 1/2x
Augustin = 1/4 x 1/2x = 1/8x
Answer: Amaro has the most cards.