# In triangle ABC, angle A is 50 (degrees), and angle B is 12 times less than angle C. Find angles B and C.

October 3, 2021 | education

| Let’s denote the angle B as X.

Then the angle C will be 12X.

Knowing that in a triangle the sum of the angles is always 180 degrees, we compose the equation:

x + 12x + 50 = 180.

13x + 50 = 180.

13x = 180-50.

13x = 130.

x = 130/13

x = 10.

So the angle C is equal to:

12×10 = 120 degrees.

Check: 50 + 10 + 120 = 180.

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