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Given: The name of the circle below is OP with diameter BC and tangent ED; MZDPB = 55°, and mZCPA = 75°

a) What is the measure of angle AB?
b) What is the measure of angle ED?
c) Calculate the measure of angle AD.
d) Find the measure of angle CDA.
e) Determine the measure of angle ABC.
f) Calculate the measure of angle ZPBA.
g) Find the measure of angle ZPDE.
h) Name a minor arc.
i) Name a major arc.

User Andrin
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1 Answer

1 vote

Final answer:

The question cannot be accurately answered due to insufficient information; a clear diagram or more context is necessary to solve for the angle measurements in relation to the circle and its elements.

Step-by-step explanation:

The student's query involves solving various angle measurements related to a circle, its diameter, tangents, and associated arcs. However, the information provided in the question is insufficient to accurately determine the values of the angles requested due to inadequate or unclear data such as the location of points A, B, E, and D or the angles referenced in the question, like mZDPB or mZCPA, which are not standard notations.

For a tangent to a circle, we know that the tangent at any point is perpendicular to the radius at that point. This helps in determining the tangent angle but only if detailed positions and proper notations are given. Similarly, for determining the measure of an arc, the central angle corresponding to that arc is needed, which is not provided in the student's question.

Without additional context or a diagram, it's impossible to provide accurate answers to the student's questions. It would be suggested for the student to review their query and provide a clear diagram or additional details for proper assistance.

User Thiago Elias
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