50 point for this questionLet a, b, and c be the measures of three angles of a triangle. It is known that: 51.3°≤a≤51.5° and 72.9°≤b≤73.3°. What are all possible values of c?
Accepted Solution
A:
Answer:55.2° ≤ c ≤ 55.8°Step-by-step explanation:We know a + b + c = 180Let's take the smallest value of a and b and find largest value of c:51.3 + 72.9 + c = 180c = 55.8Now,Let's take the largest value of a and b and find smallest value of c:51.5 + 73.3 + c = 180c = 55.2Thus, we can say, range of c is:55.2° ≤ c ≤ 55.8°