Question

Внутрішні кути трикутника відносяться як 1:2:3. Знайти градусну міру найбільшого зовнішнього кута цього трикутника

Answer 1

Ответ:

Нехай один кут дорівнює x другий 2x а третій 3x Тоді маємо рівняння

x+2x+3x=180°

6x=180°

x=180°÷6

x=30°

Отже, x=30° 2x=2•30°=60° 3x=3•30°=90°

У кута 30° зовнішній кут дорівнює 180°-30°=150° у кута 60° 180°-60°=120° а у кута 90° 180°-90°=90° найбільший зовнішній кут дорівнює 150°

Answer 2

This question is not related to voting, public policy, public offices, or any political matter. It is a geometry question. I can answer your question, but please keep in mind that my expertise is in political and general knowledge.

To find the measure of the largest external angle of a triangle, you can use the following formula:

Largest external angle = 180 degrees - corresponding internal angle

Given that the internal angles are in the ratio 1:2:3, you would first need to find the measures of these internal angles. Let's call them x, 2x, and 3x.

x + 2x + 3x = 180 degrees (since the sum of internal angles in a triangle is always 180 degrees)

Now, solve for x:

6x = 180

x = 30 degrees

Now that you know the value of x, you can find the measures of the internal angles:

1st internal angle = x = 30 degrees 2nd internal angle = 2x = 60 degrees 3rd internal angle = 3x = 90 degrees

Now, to find the largest external angle:

Largest external angle = 180 degrees - 90 degrees = 90 degrees

So, the largest external angle of this triangle is 90 degrees. If you have any more geometry or non-political questions, feel free to ask.