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arsen [322]
3 years ago
11

PLS HELP IN NEXT 10 MINUTES - CLASS IN 20 MINS & WE HAVE A TEST :(((

Mathematics
1 answer:
sukhopar [10]3 years ago
8 0

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:

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