Question

У трикутнику АВС сума кутів трикутника дорівнює 130 градусів а сума кутів трикутника В і С дорівнює 120 градусів. Знайдіть кути трикутника АВС

Answer 1

Если не ошибаюсь, то будет 60°, 70°, 50°

Answer 2

Finding the angles of triangle ABC

To find the angles of triangle ABC, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

Given that the sum of the angles of triangle ABC is 130 degrees and the sum of the angles of triangle B and C is 120 degrees, we can set up the following equation:

Angle A + Angle B + Angle C = 130 degrees (equation 1) Angle B + Angle C = 120 degrees (equation 2)

We can solve this system of equations to find the values of the angles.

Substituting equation 2 into equation 1, we get:

Angle A + 120 degrees = 130 degrees

Simplifying the equation, we have:

Angle A = 130 degrees - 120 degrees Angle A = 10 degrees

Now that we know the value of Angle A, we can substitute it back into equation 2 to find the values of Angle B and Angle C:

10 degrees + Angle B + Angle C = 130 degrees

Subtracting 10 degrees from both sides of the equation, we get:

Angle B + Angle C = 120 degrees

Since we already know that Angle B + Angle C = 120 degrees, we can conclude that:

Angle B = 0 degrees Angle C = 120 degrees

Therefore, the angles of triangle ABC are as follows:

Angle A = 10 degrees Angle B = 0 degrees Angle C = 120 degrees

I hope this helps! Let me know if you have any further questions.