A circle ADE with center O has a tangent BDC at D. CO is parallel to DE and angle A = y. Find three other angles equal to y.

Here's a step-by-step solution to the geometry problem:

Given Information:

• O is the Centre of the circle ADE.
• BDC is a tangent to the circle at D.
• $CO \parallel DE$.
• $\hat{A} = y$.

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3.1.1 Determine other three angles that are equal to y.

Step 1: Identify angles using the Tangent-Chord Theorem.
The angle between the tangent BDC and the chord DE ($\angle BDE$) is equal to the angle in the alternate segment ($\hat{A}$).

$$\angle BDE = \hat{A}$$ $$\boxed{\hat{D}_4 = y}$$

Step