Answer:
m∠C > m∠A > m∠B
Step-by-step explanation:
The measure of every angle is proportional to the measure of its opposite side. So, we need to organize the lengths of the sides from least to greater in order to identify the correct answer.
Then, if p is equal to 3, we get:
AB = 4p - 1 = 4(3) - 1 = 11
AC = p + 4 = 3 + 4 = 7
CB = 3p = 3(3) = 9
If p = 4, we get:
AB = 4(4) - 1 = 15
AC = 4 + 4 = 8
CB = 3(4) = 12
Therefore, no matter the value of p, we get that
AB > CB > AC
Since C is the opposite angle of AB, A is the opposite angle of CB and B is the opposite angle of AC, we get:
m∠C > m∠A > m∠B