In triangle abc, angle a is 30 °, and angle B is 14 times less than angle C. Find angles B and C.

We define that the degree measure of the angle B is equal to x °, then, according to the condition of the problem, the degree measure of the angle C is equal to 14x °. We know the third angle of the triangle by the condition, based on the fact that the sum of the angles of the triangle is 180 °, we will compose and solve the equation:
30 + x + 14x = 180
15x = 150
x = 10.
For x they designated the angle B, which means the angle C = 14x = 14 * 10 = 140 °.
Check: 30 ° + 10 ° + 140 ° = 180 °.
Answer: angle B is 10 °, angle C is 140 °.