Let one of the number be y and other be y+2
According to question:
y(y+2) = 360
y2 + 2y = 360
y2 + 2y - 360 = 0
which is of the form ay2 + by + c = 0
Value of y can be calculated using the formula: y = {-b ± (b2 - 4ac)1/2}/2a
Here a = 1, b = 2 and c = -360
Putting these values in the formula:
y = {-2 ± (22 - 4x1x-360)1/2}/2x1 = {-2 ± (4 + 1440)1/2}/2 = {-2 ± 38}/2
y = (-2 + 38)/2 = 18 or y = (-2 - 38)/2 = -20
If y = 18 then the other number = y + 2 = 20
If y = -20 then the other number = y + 2 = -18
So, we have two solutions (18, 20) and (-20, -18).
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9 and -40 9 + -40 = -31 9 x -40 = -360
If consecutive angles of a 4-sided figure were complementary, then all four of themwould add up to 180°. But that's a problem, because we all know that the sum of allfour angles in any 4-sided figure is always 360°. So the answer must be: 'No'.
360 degrees = Total number, T. So a sector of x degrees is equivalent to x*T/360 units.
If the numbers are allowed to repeat, then there are six to the fourth power possible combinations, or 1296. If they are not allowed to repeat then there are only 360 combinations.
The same as the greatest common divisor between 360 and 72 (72 is the remainder of the division of 432 and 360).Apply this reasoning repeatedly (that's the Euclidian algorithm), until one of the two numbers is zero.