Question 8: Circle Theorem
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Here are the solutions to the geometry and statistics problems.
Question 8: Circle Theorem
8. (a) Calculate the size of angle BAD. Giving reasons.
Step 1: Identify angles subtended by the same arc.
Angles subtended by the same arc in the same segment are equal.
Arc AC subtends $\angle ADC$ and $\angle ABC$.
Therefore, $\angle ABC = \angle ADC = 35^\circ$.
Step 2: Identify the angle in a semicircle.
Since AB is the diameter, $\angle ACB$ is an angle in a semicircle.
Therefore, $\angle ACB = 90^\circ$.
Step 3: Calculate $\angle
