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uranmaximum [27]
3 years ago
11

Are these triangles similar? (worth 25 points)

Mathematics
1 answer:
zloy xaker [14]3 years ago
5 0

Find angleK:

Angle k = 180-45-85 = 50

Both triangles have an angle equal to 85 and 45, which makes the 3rd angle in both triangles equal to 50

Because all three angles are the same the triangles are similar.

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If line AD is a tangent to circle B at point C, and m∠ABC = 40º, what is the measure of ∠BAC? 90º  180º   50º   40º
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We have a line tangent to the circle with center B at point C. We know that the angle formed between the tangent line at the point of intersection to the line extended from that point to the center of the circle is equal to 90°. In the problem, the 90° is for ∠BCA. We also know that the summation of all angles in a triangle is 180°. We have the solution below for the ∠BAC
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