now let's recall that a full circle has 360°, so then 1140 = 360 + 360 + 360 + 60.
namely, 1140 is 3 full-go-around the circle and then it lands on the I Quadrant at 60°. Thus cos(1140°) = cos(60°).
what's that cosine of 60°? Check the picture below.
3/6
because 6 divided by 2 = 3
and
12 divided by 2 = 6
Alright here we go
First we need to find the upper angle by doing 180 - 143 = 37. Because it’s a straight line.
Second we need to find angle ADC
a triangle has 180 degrees, and we have 38 and 37.
180 - (38+37) = 105
then we find what the question wants:
180 - 105 = 75 degrees
7/8 , this is because there will only be 7/8 left over , hope this helps :)
16 / 2 = 8
8 - 1 = 7
4 x 7 = 28
Hope this helps :)