In triangle ABC, angle A = p + 2q degrees, angle B = 6p - 5q degrees, and angle C = 14p + 8q degrees. Find p (in degrees) in terms of q.
In triangle ABC, angle A = p + 2q degrees, angle B = 6p - 5q degrees,
and angle C = 14p + 8q degrees. Find p (in degrees) in terms of q.
A + B + C = 180
(p + 2q) + (6p – 5q) + (14p + 8q) = 180
21p + 5q = 180
21p = 180 – 5q
180 – 5q
p = ––––––––
21
.
+2741 
