Question

Один із внутрішніх кутів трикутника на 50 градусів більший за іншій, а зовнішній кут при третій вершині дорівнює 130 градусів. Знайдіть кути трикутника.

Answer 1

Ответ:Сумма двух внутренних углов не смежных с внешним равна его градусной мере

<1=(130-50):2=40 градусов

<2=40+50=90 градусов

Внутренний угол и смежный ему Внешний в сумме равны 180 градусов

<3=180-130=50 градусов

Объяснение:

Answer 2

Triangle Angle Calculation

To find the angles of the triangle, we can use the following information:

- One internal angle of the triangle is 50 degrees larger than the other internal angle. - The external angle at the third vertex of the triangle is 130 degrees.

Let's denote the three internal angles of the triangle as A, B, and C, with A being the angle that is 50 degrees larger than B.

We can set up the following equations based on the given information:

1. Equation 1: A = B + 50 (since one internal angle is 50 degrees larger than the other) 2. Equation 2: A + B + C = 180 (the sum of the internal angles of a triangle is always 180 degrees) 3. Equation 3: C = 180 - 130 (the external angle at the third vertex is equal to the sum of the two internal angles at that vertex)

Now, let's solve these equations to find the values of A, B, and C.

From Equation 3, we have C = 180 - 130 = 50 degrees.

Substituting this value of C into Equation 2, we get A + B + 50 = 180.

From Equation 1, we have A = B + 50.

Substituting this value of A into the modified Equation 2, we get (B + 50) + B + 50 = 180.

Simplifying the equation, we have 2B + 100 = 180.

Subtracting 100 from both sides, we get 2B = 80.

Dividing both sides by 2, we get B = 40.

Substituting this value of B into Equation 1, we get A = 40 + 50 = 90.

Therefore, the angles of the triangle are:

- Angle A = 90 degrees - Angle B = 40 degrees - Angle C = 50 degrees.

Note: The angles of a triangle always add up to 180 degrees.

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