Can someone explain how the answers are 97, 32, and 51?

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Can someone explain how the answers are 97, 32, and 51?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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AB is a secant and BC is a tangent, so angle B will be half the difference between arcs AD and DE.
|dw:1433300303827:dw| Make the substitutions and find arcs AD & DE

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Other answers:

The whole circle is 360°, so arc AE = 360 - 65 - 129 = 166° |dw:1433300549895:dw|
And then angle C = 1/2(AED - AD), so it is 51. Thanks! I understand now
You're welcome!

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