Answer: Let x = the measure of the larger arc and
let y = the measure of the smaller arc which is closest to the angle’s vertex. We know that x + y = 180 because that is given.
The secant-secant angle has a measure that is half the difference of the intercepts arcs. That means (1/2)(x - y) = 32 for this problem
We just need to solve the system
x + y = 180 and x - y = 64
Adding the equations you get 2x = 244 so x = 122 degrees and y = 58 degrees
Step-by-step explanation:
