here's the solution for 1.2. 1.2 Prove that R_3 = x. Step 1: Use the given parallel lines. We are given that PQ SR. Consider the transversal QS. Since PQ SR, the alternate interior angles are equal. Q_1 = S_2; We are given Q_1 = x. Therefore, S_2 = x. Step 2: Use the Tangent-Chord Theorem. The angle between the tangent TQ and the chord PQ (Q_1) is equal to the angle in the alternate segment subt

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Prove that R3 = x.

April 13, 2026Mathematics

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here's the solution for 1.2.

1.2 Prove that $\hat{R}_3 = x$ .

Use the given parallel lines.
We are given that $PQ \parallel SR$ .
Consider the transversal QS.
Since $PQ \parallel SR$ , the alternate interior angles are equal.
$\hat{Q}_1 = \hat{S}_2$
We are given $\hat{Q}_1 = x$ .
Therefore, $\hat{S}_2 = x$ .
Use the Tangent-Chord Theorem.
The angle between the tangent TQ and the chord PQ ( $\hat{Q}_1$ ) is equal to the angle in the alternate segment subt

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