A regular octagon ABCDEFGH is inscribed in a circle. Tangents to the circle at A and C intersect at N. What is the angle ANC in degrees?

1 Answer
CW
Mar 2, 2018

#angleANC=90^@#

Explanation:

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let #O# be the center of the circle,
#=> angleAOB=angleBOC=360/8=45^@#
#=> angleAOC=2xx45=90^@#
given #NA, and NC# are tangent to the circle at #A and C#, respectively,
#=> angleOAN=angleOCN=90^@#
#=> OANC# is a square,
#=> angleANC=90^@#

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