Pls in next 10 minutes - class in 20 mins & we have a test :

the vertex of an angle measuring 32° is in the exterior of a circle and its sides are secants of the circle. if the sum of the measures of the intercepted arcs is 180°, find the measure of each intercepted arc.

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:

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2