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

univerkov | 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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