Question

bukit view secondary school mathematics department e. mathematics chapter 11 : geometrical properties of circle (d) diagram of circle with center o, tangents, and angles x, y, z (e) diagram of circle with center o, tangents, and angles x, y, z, and 28° angle

Explanation:

Since the problem is not clearly stated (e.g., what to find: x, y, z in part (d) or (e)?), we can't proceed with a solution. Please clarify the question, such as specifying which angle or length to calculate and in which part (d or e), and provide any known properties or given values (if not already clear from the diagram). For example, in part (e), if we assume we need to find x, we know that OA is perpendicular to PA (tangent to the circle), and if we use circle theorems (like radius perpendicular to tangent, or central angle vs inscribed angle), but we need the exact question.

Answer:

Since the problem is not clearly stated (e.g., what to find: x, y, z in part (d) or (e)?), we can't proceed with a solution. Please clarify the question, such as specifying which angle or length to calculate and in which part (d or e), and provide any known properties or given values (if not already clear from the diagram). For example, in part (e), if we assume we need to find x, we know that OA is perpendicular to PA (tangent to the circle), and if we use circle theorems (like radius perpendicular to tangent, or central angle vs inscribed angle), but we need the exact question.