Question

Сума трьох нерозгорнутих кутіт утворених при перетині двох прямих на 280градусів більше четвертого кута Знайдіть цм чотири кута. ответте пажалутса с обеснением

Answer 1

Відповідь:

перший кут=120°

другий кут=40°

третій кут=120°

четвертий кут=40°

Покрокове пояснення:

360°— сума всіх кутів (4 кутів).

360°-280°=80°

80°:2=40°(другий кут,четвертий кут)

280+40=320°(суму 3-х кутів)

180°—сума двох кутів

180°-40°=120°(перший кут, третій кут.)

Answer 2

Solution for Finding the Sum of Four Angles

To find the sum of the four angles formed by the intersection of two straight lines at an angle of 280 degrees more than the fourth angle, we can use the following steps:

1. Identify the Relationship Between the Angles: - The sum of the interior angles on the same side of a transversal intersecting two parallel lines is always 180 degrees.

2. Calculate the Fourth Angle: - Let's assume the measure of the fourth angle is x degrees.

3. Use the Given Information: - According to the given information, the sum of the three unspecified angles is 280 degrees more than the fourth angle.

4. Set Up the Equation: - We can set up the equation as follows: - x + (x + 280) = 180 - Simplifying the equation, we get: - 2x + 280 = 180 - 2x = 180 - 280 - 2x = -100 - x = -50

5. Interpretation of the Result: - The value of x being -50 indicates that there might be an error in the given information or the problem setup. It's unusual to have a negative angle measure in this context.

6. Consideration: - It's important to review the problem statement and ensure that all the given information is accurate and consistent.

In summary, the calculated value of -50 for the fourth angle suggests a potential issue with the given information or the problem setup. It's essential to double-check the problem statement to ensure accuracy and consistency.