Suppose sin(A) = 1/4. Use the trig identity sin^2 (A) + cos^2(A) = 1 to find cos(A) in quadrant II. Round to ten-thousandth.

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