If I may say y equals to angle R2 I will be wrong??

Mathematics

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You would be incorrect to say that R^2=y\hat{R}_2 = y.

Here's why:

Step 1: Identify angles equal to yy.
We are given Q^3=y\hat{Q}_3 = y.
By the Tan-chord theorem, the angle between the tangent TQA and chord QR (Q^3\hat{Q}_3) is equal to the angle in the alternate segment subtended by the chord QR, which is P^1\hat{P}_1.

P^1=Q^3=y\hat{P}_1 = \hat{Q}_3 = y

Also, angles subtended by the same arc are equal. So, S^1\hat{S}_1 (subtended by arc QR) is equal to P^1\hat{P}_1.

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