Theorem 10.11 : The sum of either pair of opposite angles of a cyclic quadrilateral is 180º.
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To prove Theorem 10.11: The sum of either pair of opposite angles of a cyclic quadrilateral is 180º, we can follow these steps:
### Step-by-Step Solution:
1. **Draw a Cyclic Quadrilateral**:
- Let the cyclic quadrilateral be ABCD, where points A, B, C, and D lie on the circumference of a circle.
2. **Identify the Center**:
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If the two sides of a pair of opposite sides of a cyclic quadrilateral are equal, prove that its diagonals are equal.
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Theorem 7.3 : The sides opposite to equal angles of a triangle are equal.
