Can you solve the problem in geometry formula solve in geometric formula please do not solve in algebra 1 and 2 formula only solve in geometry formula take your time remember solve geometry/ geometric formula

Answer:

Step-by-step explanation:

The sum of the exterior angles of a polygon is always 360 degrees. Therefore, we can set up an equation with the given exterior angles and solve for x.

(4x+7) + (6x-5) + 41 + (3x+6) + (7x-11) + 62 = 360

Simplifying the equation, we get:

20x + 100 = 360

Subtracting 100 from both sides:

20x = 260

Dividing both sides by 20:

x = 13

Now that we have found the value of x, we can use it to find the measures of the interior angles of the hexagon.

The sum of the interior angles of a hexagon is given by the formula (n-2) x 180, where n is the number of sides of the polygon.

Substituting n=6, we get:

(6-2) x 180 = 4 x 180 = 720

Therefore, the sum of the interior angles of the hexagon is 720 degrees.

Each exterior angle is supplementary to its adjacent interior angle. Therefore, we can use the formula:

exterior angle + interior angle = 180

To find the measures of the interior angles, we can subtract the given exterior angles from 180.

The measures of the interior angles are:

(180 - (4x+7)) = (180 - (4(13)+7)) = 111 degrees 

(180 - (6x-5)) = (180 - (6(13)-5)) = 67 degrees 

(180 - 41) = 139 degrees 

(180 - (3x+6)) = (180 - (3(13)+6)) = 133 degrees 

(180 - (7x-11)) = (180 - (7(13)-11)) = 73 degrees 

(180 - 62) = 118 degrees

Therefore, the measures of the interior angles of the hexagon are 111 degrees, 67 degrees, 139 degrees, 133 degrees, 73 degrees, and 118 degrees.