For simplicity Let Anti clock wise as +ve direction so clockwise will be negative direction
Anti clock wise= 180 degree
clockwise= 135 degree
therefore sum= 180-135= 45 degree anti clockwise
When 36516 is divided by 456
we get remainder as 36
So the least number = 456 - 36 = 420
So 420 is the least number which should be added to the 36516 so that the new number is exactly divisible by 456.
I.e new number=36516 + 420 = 36936
and this is exactly divisible by 456
Let the 2 digit number be in the form of 10x+y where x and y intergers.
so according to question
10x+y= 4(x+y)
10x+y=4x+4y
6x-3y=0
2x-y=0 ......... (i)
And If 27 is added to the number the digits are reversed
So
10x+y+27=10y+x
9x-9y +27= 0
x-y+3=0 .......................(ii)
substracting (ii) from (i) we get
2x-y-x+y-3=0
So x = 3
similarly y=6
So the number is 36
Given the sum, the ratio of angle is 1:3:7:9. That is 20 parts is 360 degree (sum of the interior angles of a quadrilateral is 360 degrees). 1 part = 360/20=18 degrees. So the angles are
18, 3x18, 7x18, 9x18 that is 18, 54, 126 and 162 degrees