Respuesta :

Hey there!

To start, you have one of your angles given, 40.5.  Now, given that the airplane is directly over point A of the triangle, you can conclude that ∠A is 90 degrees.

Knowing that the sum of all the angles of a triangle is 180 degrees, to find ∠P, you can set up this equation (where x is the missing angle of ∠P):
40.5+90+x=180

Simplify and solve for x:
40.5+90+x=180
130.5+x=180
x=49.5

Therefore, m∠P is equal to 49.5 degrees.

Hope this helps and have a marvelous day!