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1 vote
Find C. See the image below

Find C. See the image below-example-1
User Uris
by
6.4k points

1 Answer

5 votes

Answer:

55 degrees

Explanation:

First, we can use Thales' Theorem to determine that because AC is along the circle's diameter, angle B (the angle opposite to that side) is a right angle.

Next, we know that an inscribed angle with its vertex on the circle, formed by two intersecting chords (A in this case) is equal to 1/2 of its intercepted arc, so angle A = 70/2=35

We can then use the fact that a triangle adds up to 180 degrees here to get

35+90+C=180

C=55 degrees

User Georg Ringer
by
7.2k points
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