Suppose that α and β are the angles of a triangle. it is known that: 58°≤α≤59° and 102°≤β≤103°. find the possible values of the third angle.

If a and b are the measures of two first quadrant angles and sin a = 4/9 and sin b = 2/5 find sin(a+b).

The center of the circumscribed circle lies on line segment and the longest side of the triangle is equal to the of the circle.

Ricky takes out a $31,800 student loan to pay his expenses while he is in college. after graduation, he will begin making payments of $190.66 per month for the next 30 years to pay off the loan. how much more will ricky end up paying for the loan than the original value of $31,800? ricky will end up paying $ more than he borrowed to pay off the loan.