Question

Найдите наибольший из углов четырехугольника если они пропорциональны числам 2 3 7 и 8

Answer 1

2+3+7+8=20частей
360:20=36° одна часть
36*8=288°

Answer 2

Ответ в фотографии, удачи)))

Answer 3

Finding the Largest Angle of a Quadrilateral Proportional to 2, 3, 7, and 8

To find the largest angle of a quadrilateral when the angles are proportional to the numbers 2, 3, 7, and 8, we can use the concept of proportionality to determine the relative sizes of the angles.

Step 1: Understanding Proportionality In a quadrilateral, the sum of all the internal angles is always 360 degrees. If the angles are proportional to the numbers 2, 3, 7, and 8, we can express the angles as multiples of these numbers.

Step 2: Calculating the Angles Let's express the angles as multiples of the given numbers: - Let the angles be 2x, 3x, 7x, and 8x, where x is a constant.

Step 3: Finding the Largest Angle To find the largest angle, we need to find the value of x that maximizes the angle 8x.

Step 4: Solving for x We can solve for x by setting up the equation: 2x + 3x + 7x + 8x = 360 20x = 360 x = 18

Step 5: Calculating the Largest Angle Now that we have the value of x, we can find the largest angle: 8x = 8 * 18 = 144 degrees.

Therefore, the largest angle of the quadrilateral is 144 degrees.