Abirding club holds an annual photography contest among its member after a set time time limit in a particular park contestants receive 4 points for photos of songbirds and 20 points for photos of birds of prey. last years winner had a total of 200 points from 38 photos of individual birds. how many of each type of bird did the winner photograph?

answer:

35 songbirds and 3 birds of prey

step-by-step explanation:

let x = number of songbird photos

      y = number of birds of prey photos

then,     x +       y = 38

  and   4x + 20y = 200

divide the second equation by 4.  

so, we have x + y = 38

                      x + 5y = 50

subtracting the equations, we get -4y = -12

                                                                y = 3 and x + 3 = 38

                                                                                    so, x = 35

m∠a is 90°

m∠b is 40°