Question

Помогите срочно!!!!! Один з внутрішніх кутів трикутника в 3 рази більший за другий, а зовнішній кут, не суміжний з ними дорівнює 100°. Знайти внутрішні кути трикутника. ​

Answer 1

Ответ:

25°,  75°

Объяснение:

Зовнішній кут трикутника дорівнює сумі двох внутрішніх кутів не суміжних з ним.

Нехай ∠1=х°, тоді ∠2=3х°;  х+3х=100;  4х=100;  х=25.

∠1=25°,  ∠2=25*3=75°

Answer 2

Solution to Finding the Internal Angles of a Triangle

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

1. Identify the Given Information: - One of the internal angles is three times larger than the second one. - The exterior angle, not adjacent to the other two, measures 100°.

2. Use the Relationship Between Exterior and Interior Angles: - The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

3. Set Up Equations: - Let's denote the internal angles as A, B, and C, with C being the angle three times larger than B. - We can set up the following equations based on the given information: - A + B + 100 = 180 (Sum of interior angles) - C = 3B

4. Solve for the Internal Angles: - We can use the equations to solve for the internal angles of the triangle.

Calculation of Internal Angles

Let's solve for the internal angles using the equations we've set up:

1. From the equation A + B + 100 = 180, we can solve for A + B: - A + B = 180 - 100 - A + B = 80

2. Substituting C = 3B into the equation A + B = 80, we get: - A + B = 80 - A + 3B = 80 - A = 80 - 3B

3. Now, we can substitute the value of A into the equation C = 3B: - 80 - 3B + 3B = 100 - 80 = 100 - This equation has no valid solution.

Conclusion

It seems there might be an error in the given information or the problem setup. The current equations do not yield a valid solution for the internal angles of the triangle. If there is additional information or if the given information can be verified, we can revisit the problem to find a solution.