A circle is intercepted by five central angles each measures m, n, (p + 45), 75, and 111 degrees. Which is m + n + p?
Answer 134 degrees
132 degrees
131 degrees
129 degrees

Question

A circle is intercepted by five central angles each measures m, n, (p + 45), 75, and 111 degrees. Which is m + n + p?
Answer    134 degrees 
   132 degrees 
   131 degrees 
   129 degrees

anonymous · Answer

sum of all central angles has to be 360°

75° + 111° = 186°

so m + n + (p + 45)  = 360° - 186°
m + n + (p + 45)  = 174°
m + n + p  = 174° - 45°
m + n + p  = 129°