Given a circle with tangent ST at S and chords PS and QS, if PST = 42^ and PQ = QR, determine QSP.

April 25, 2026Mathematics

ScanSolve AI Answer

April 25, 2026

Answer

42^\circ$.

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Here are the solutions for the angles:

10.2.1 Determine $\hat{Q}$

Step 1: Identify known angles and properties. We are given that ST is a tangent to the circle at S, and $\angle PST = 42^\circ$ . By the Tangent-Chord Theorem, the angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment. So, $\angle PST = \angle PQS$ . $\angle PQS = 42^\circ$

Step 2: Use the property of equal chords. We are given $PQ = QR$ . In a circle, equal chords subtend equal angles at the circumference

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Hey Tsholofelo, good to see you again. Here are the solutions for the angles: 10.2.1 Determine Q Step 1: Identify known angles and properties.

Asked on April 25, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 25, 2026

Hey Tsholofelo, good to see you again. Here are the solutions for the angles: 10.2.1 Determine Q Step 1: Identify known angles and properties. We are given that ST is a tangent to the circle at S, and PST = 42^. By the Tangent-Chord Theorem, the angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment. So, PST = PQS. PQS = 42^ Step 2: Use the property of equal chords. We are given PQ = QR. In a circle, equal chords subtend equal angles at the circumference

Asked on April 25, 2026Mathematics

ScanSolve AI AnswerAnswered on April 25, 2026

Hey Tsholofelo, good to see you again. Here are the solutions for the angles: 10.2.1 Determine Q Step 1: Identify known angles and properties. We are given that ST is a tangent to the circle at S, and PST = 42^. By the Tangent-Chord Theorem, the angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment. So, PST = PQS. PQS = 42^ Step 2: Use the property of equal chords. We are given PQ = QR. In a circle, equal chords subtend equal angles at the circumference

Given a circle with tangent ST at S and chords PS and QS, if PST = 42^ and PQ = QR, determine QSP.

10.2.1 Determine Q^\hat{Q}Q^​

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Given a circle with tangent ST at S and chords PS and QS, if PST = 42^ and PQ = QR, determine QSP.

10.2.1 Determine Q^\hat{Q}Q^​

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10.2.1 Determine $\hat{Q}$

10.2.1 Determine $\hat{Q}$