nataliecruz07 nataliecruz07
  • 02-03-2024
  • Mathematics
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Assume that lines that appear to be tangent are tangent. O is the center of each circle. Find the value of x

Assume that lines that appear to be tangent are tangent O is the center of each circle Find the value of x class=

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Aisin
Aisin Aisin
  • 02-03-2024

Label the radii as OA and OB (OAB = 60) respectively, intersection between OB and tangent is D.

Because they are radii, OA = OB, and since OAB = 60 <=> OAB is an equilateral triangle <=> AOB = 60

OA is perpendicular to the tangent <=> OAD is a right triangle.

<=> x = 90 - AOB = 90 - 60 = 30

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