Studdy AI Logo
Math  /  Geometry

QuestionThe figure below represents part of a regular polygon with nn sides inscribed in a circle with center OO. In terms of nn, what is the degree measure of ∠OBC\angle O B C ? A. 90−180n90-\frac{180}{n} B. 180−n180-n C. 180n−360180 n-360 D. 180−360n180-\frac{360}{n} E. 360n\frac{360}{n}

Studdy Solution
Calculate ∠OBC \angle OBC as half of the central angle:
∠OBC=12×360∘n=180∘n \angle OBC = \frac{1}{2} \times \frac{360^\circ}{n} = \frac{180^\circ}{n}
The degree measure of ∠OBC \angle OBC in terms of n n is:
180∘n \boxed{\frac{180^\circ}{n}}

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord