Question

Найти углы треугольника если угол при оснавании на 12 градусов больше угла при вершине

Answer 1

3х =192
х=64 - углы при основании
Вершина:64-12=52 

Answer 2

Finding the Angles of a Triangle

To find the angles of a triangle when the angle at the base is 12 degrees more than the angle at the vertex, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

Let's denote the angle at the vertex as A, the angle at the base as B, and the remaining angle as C.

We are given that the angle at the base is 12 degrees more than the angle at the vertex, so we can express this as: B = A + 12.

Using the fact that the sum of the angles in a triangle is 180 degrees, we can form the equation: A + B + C = 180.

Now, let's solve for the angles A, B, and C.

Solution

Using the given information and the fact that the sum of the angles in a triangle is 180 degrees, we can solve for the angles as follows:

1. We know that B = A + 12. 2. Substituting B in terms of A in the equation A + B + C = 180, we get: A + (A + 12) + C = 180. 3. Simplifying the equation, we have: 2A + 12 + C = 180. 4. Rearranging the equation, we get: 2A + C = 180 - 12. 2A + C = 168. 5. We also know that A + B + C = 180. 6. Substituting B = A + 12 in the equation, we get: A + (A + 12) + C = 180. 2A + 12 + C = 180. 2A + C = 180 - 12. 2A + C = 168.

From the above equations, we can solve for the angles A, B, and C.

Calculating the Angles

Using the equations derived above, we can calculate the angles of the triangle as follows:

1. From the equation 2A + C = 168, we can solve for C in terms of A: C = 168 - 2A.

2. Substituting the value of C in terms of A into the equation A + B + C = 180, we get: A + (A + 12) + (168 - 2A) = 180. 2A + 12 + 168 - 2A = 180. 180 + 12 + 168 = 180. 180 + 180 = 180. 360 = 180.

This leads to an inconsistency, as the equation 360 = 180 is not valid. It seems there might be an error in the given information or the calculations. Let's re-evaluate the problem and see if there's a mistake in the given data or the calculations.