In a triangle ABC, if 3 angle A, 4 angle B, and 6 angle C, calculate the angles.

To find the angles A, B, and C in triangle ABC, we start with the information given: 3 angle A, 4 angle B, and 6 angle C. We can express these in a mathematical form:

Let angle A = 3x, angle B = 4x, and angle C = 6x.

According to the triangle angle sum property, the sum of the angles in a triangle is always 180 degrees. Therefore, we can set up the equation:

3x + 4x + 6x = 180

Simplifying this, we get:

13x = 180

Now, solving for x:

x = 180 / 13

x ≈ 13.85 degrees

Now we can find each angle:

Angle A = 3x = 3 * (180 / 13) ≈ 41.54 degrees

Angle B = 4x = 4 * (180 / 13) ≈ 55.38 degrees

Angle C = 6x = 6 * (180 / 13) ≈ 83.08 degrees

Thus, the angles of triangle ABC are approximately:

• Angle A ≈ 41.54 degrees
• Angle B ≈ 55.38 degrees
• Angle C ≈ 83.08 degrees