Saturday, April 15, 2023

Geometry Problem 1534: Bike High School Challenge: Tangent Circles, Common External Tangent, and Angle Conundrums

Geometry Problem 1534. Post your solution in the comment box below.
Level: Mathematics Education, K-12 School, Honors Geometry, College.

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Geometry Problem 1534: Bike High School Challenge: Tangent Circles, Common External Tangent, and Angle Conundrums.

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Posted by Antonio Gutierrez at 2:58 PM
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2 comments:

  1. Peter TranApril 15, 2023 at 3:41 PM

    since OA Perpendicular to AB and triangle OAC is isosceles
    we get to the result <( BAC)=34

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  2. Sumith PeirisApril 15, 2023 at 10:15 PM

    Since OA // QB, < AOC = 68.
    Hence < BAC = 68/2 = 34.

    Actually there is no need for the circles to be tangential to each other for this result to hold

    Sumith Peiris
    Moratuwa
    Sri Lanka

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