𝐴, 𝐵, 𝐶 and 𝐷 are points on a circle.𝑃𝐴 is a tangent to the circle.Angle 𝑃𝐴𝐷=39∘Angle 𝐵𝐶𝐷=103∘Calculate the size of angle 𝐴𝐷𝐵.(5 marks)

Question

𝐴, 𝐵, 𝐶 and 𝐷 are points on a circle.𝑃𝐴 is a tangent to the circle.Angle 𝑃𝐴𝐷=39∘Angle 𝐵𝐶𝐷=103∘Calculate the size of angle 𝐴𝐷𝐵.(5 marks)
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Solution 1

Step 1: Identify the known angles. We know that 𝑃𝐴𝐷 = 39° and 𝐵𝐶𝐷 = 103°.

Step 2: Use the property of a tangent to a circle. The tangent to a circle forms a 90° angle with the radius at the point of tangency. Therefore, angle 𝑃𝐴𝐵 = 90°.

Step 3: Calculate angle 𝐴𝐵𝐷. Since angles in a triangle add u Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

iangle add u 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

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