Given a triangle ABC. Angle A is 2 times greater than angle B and 3 times less than angle C. Find the magnitude of all angles.

univerkov | December 10, 2020 | education

Let the angle B = x. Then the angle A = 2x, and the angle C = 3 * 2x = 6x. The sum of these angles is x + 2x + 6x. And by the theorem, the sum of the angles of the triangle = 180 °
Let’s make the equation
x + 2x + 6x = 180
9x = 180
x = 20
Hence, angle B = 20 °, angle A = 40 °, and angle C = 120 °

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