
<=> cosx = +1/2 or cosx = -1/2;
cosx = +1/2 => x = +π/3 + 2kπ, where k is an integer or x = -π/3 + 2kπ, where k is an integer;
cosx = -1/2 => x = +2π/3 + 2kπ, where k is an integer or x = -2π/3 + 2kπ, where k is an integer;
1st angle - x⁰
2nd angle - (x+25)⁰
The angles are supplementary,
so
x+x+25=180
2x=155
x=77.5⁰ -1st angle
77.5+25=102.5⁰ - 2nd angle
Move the decimal places, the answer is 6.7 x 10^6
One cat has four paws, so there are 120/4=30 cats. If a "set" of cats is two uncool cats and three cool cats, there are five cats in a set, so there are 30/5=6 sets. Since each of the six sets contains three cool cats, there are 18 cool cats in the family.