A home has a triangular backyard. The second angle of the triangle is 4degrees more than the first angle. The third angle is 8degrees more than two times the first angle. Find the angles of the triangular yard.
The measure of the first angle is

1st angle = X

2nd angle = X + 7

3rd angle = X + 18

Then (sum. them): 3X + 25 = 180   ==>  X = 51.67 degree

Therefore,

1st angle = 51.67 degree

2nd angle = 58.67 degree

3rd angle = 69.67 degree

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.