Question

зовнішні кути при двох вершинах трикутника дорівнюють 130° і 80° знайдіть градусну міру кожного з трьох внутрішніх кутів​

Answer 1

Ответ:

на фото, що не зрозуміло запитуйте!

Answer 2

Finding the Sum of Interior Angles of a Triangle

To find the sum of the interior angles of a triangle, we can use the formula: Sum of interior angles = 180°

Given Information

The given information states that the exterior angles at two vertices of a triangle are 130° and 80°.

Calculating the Interior Angles

To find the measure of each interior angle, we can use the fact that the exterior angle and the interior angle at a vertex of a triangle are supplementary, meaning they add up to 180°.

Let's denote the three interior angles as A, B, and C. The exterior angles at the vertices opposite these interior angles are 130°, 80°, and x° respectively.

We can use the following equations to find the measures of the interior angles: 1. A + 130° = 180° 2. B + 80° = 180° 3. C + x° = 180°

Calculating the Measures

Solving these equations gives us: 1. A = 180° - 130° = 50° 2. B = 180° - 80° = 100° 3. C = 180° - x°

So, the measures of the three interior angles of the triangle are: - A = 50° - B = 100° - C = 180° - x°

This means that the sum of the interior angles of the triangle is 180°, which is consistent with the general rule for triangles.

I hope this helps! If you have further questions or need additional assistance, feel free to ask.