A geometry problem by A Former Brilliant Member

Geometry Level 1

Two lines meet to form an angle of y y degrees and are tangent to a circle at points A and C, respectively. What is the value of y y in degrees?

25 30 70 45

A Former Brilliant Member by A Former Brilliant Member

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1 solution

A tangent line forms a 90 degree angle with the radius of a circle.

x = 360 - 100-110-80=70

Now we have a quadrilateral and the sum of the interior angles of a quadrilateral is equal to 360 degrees. Therefore,

y = 360 - 90 - 90 - 80 - 70 = 30 degrees

1 Helpful 0 Interesting 0 Brilliant 0 Confused

There is a minor typo in your first calculation. The 70 and 80 are reversed.

Richard Costen - 4 years, 5 months ago

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