Question 16: Geometry Problem

Here's the solution for the geometry problem (Question 16) and the distance-time problem (Question 23).

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Question 16: Geometry Problem

Given Information:

• O is the center of the circle.
• $\angle ADO = 37^\circ$.
• $\angle OCD = 45^\circ$.
• EC is a tangent to the circle at C.
• ABCD is a cyclic quadrilateral.
• EC = 7 cm, DE = 5 cm.

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Part a) i) Calculate $\angle CDE$, giving reasons.

Step 1: Identify isosceles triangles.
In $\triangle OAD$, OA = OD (radii). Therefore, $\