15 tan^3x=5tanx,(0,2pi)

steps below

Step-by-step explanation:

15 tan³x=5tanx     (0,2π)

5tanx(3tan²x - 1) = 0

tanx = 0            x = π  (0° is excluded)

or 3tan²x - 1 = 0

(√3 tanx + 1) (√3 tanx - 1) = 0

tanx = 1 /√3      x = π/6 (30°)    or    x = 5π/6  (150°)

tanx = - 1 /√3      x = 7π/6 (210°)    or    x = 11π/6  (330°)

m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

m∠2 +m∠3 +m∠5 = 180   is true