Answer: x = 135 degrees and y = 225 degrees.
Step-by-step explanation: To solve this problem we first use the equation (n-2)*180 [n being the number of sides] to find the sum of interior angles in the figure. We plug the values in: (8-2)*180 = 6*180 degrees = 1080 degrees. We divide this by 8 to get the measure of an interior angle: 1080 degrees/8 = 135 degrees. Since all the interior angles of a regular polygon are congruent, we can say that angle x + angle y = 360 degrees. Thus subtract x degrees from 360 degrees to get y: 360 degrees - 135 degrees = 225 degrees. Therefore, x = 135 degrees and y = 225 degrees.
I like to start by turning all my numbers into the same form. You can go either way but I am going to turn the decimals into fractions. so 0.7 is the same as 7/10.
0.755 is like 755/1000 which can be reduced to 151/200 (if you don't understand the convertions let me know i will explaine more.)
Next give all the fractions a common denominator. both 8 and 10 go into 200 so we can use that. 151/200 already has a denominator of 200 so that one is set.
for 7/10 well, 10 time 20 is 200 so multiply both the numerator and the denominator by 20 so you get 140/200
the last one is 5/8 8 times 25 is 200 so multiply both numbers by 25 to get 125/200
the fractionos we have are 125/200 151/200 and 140/200. Now because they all have the same denominator the one with the lowest numerator is the least number and the one with the highest number is the greatest number.
125/200 140/200 151/200 now just replace the original number with the order they are placed in.
125/200 was 5/8
140/200 was 0.7
151/200 was 0.755
so the final answer is
5/8, 0.7, 0.755
