(Prove) The angle subtended by an arc at the center is double the angle subtended by it at anypoint on the remaining part of the circle.

Question

(Prove) The angle subtended by an arc at the center is double the angle subtended by it at anypoint on the remaining part of the circle.
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Solution 1

Sure, here is the proof:

Step 1: Let's consider a circle with center O. Let AB be an arc and let's consider two points C and D on the circle such that they subtend ∠COB at the center and ∠DAB at the remaining part of the circle.

Step 2: Draw the radii OC and OD. Also, draw OB.

Step 3: In triangle Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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