To solve the value of x we use the sine rule that states. a/sinA = b/sinB = c/sinC Where a, b, and c are the opposite sides of angle A, B. and C respectively.
Using the law of the sine we have two possibilities: Way 1: x / sine (60) = 7 / sine (80) Rewriting we have: x = (7 / sine (80)) * (sine (60)) x = 6.16 Way 2: x / sine (80) = 7 / sine (60) Rewriting we have: x = (7 / sine (60)) * (sine (80)) x = 7.96 Answer: x = 6.16 or x = 7.96 Note: it depends on the location of a and b in the triangle.
