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58° = measure of arc AC

Step-by-step explanation:

The measure of an angle formed by 2 chords is equal to 1/2 the sum of the measures of the intercepted arcs.

65 = (measure of arc AC + measure of arc BD)/2

     =  (measure of arc AC + 72)/2

130 = measure of arc AC + 72

58° = measure of arc AC

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step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have