Write the quadratic function in the form g(x)=a(x-h)^2+k.
then, give the vertex of its graph. g(x)= -x^2+2x-5
writing in the form specified : g(x):
vertex :

The vertex is (1,-4).
Writing in the form specified: 
g(x)=-(x-1)^2-4

In the first triangle 80+20+p=180 (since sum of all angles of a triangle is 180)so p= 80also in second triangle 55+45+q=180 (since sum of all angles of a triangle is 180)so q=80so we can conclude that p=80 degrees q=80 degrees so p=q=80 degreeshence option b is correct