Transcribed Image Text:### Circle and Angles Transcription
#### Problem 3
**Diagram Explanation:**
A circle is given with points labeled P, Q, and R on its circumference. A line segment PQ is drawn from point P to point Q, and another line segment PR is drawn from point P to point R. The interior point S is marked where the two line segments intersect the circle again at R and Q respectively.
**Mathematical Notation and Question:**
\[ m \angle PQR = \underline{\hspace{5cm}} \]
**Question:**
Calculate or provide the measure of angle PQR based on the given circle and its segments.
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This image and associated question are meant to help students understand the relationships and angle measures within a circle. The terms and points labeled (P, Q, R, S) are utilized in typical geometric problems to illustrate properties of circles, angles, and intersecting line segments.
Remember, the measure \( m \) of an angle is typically found using various geometric theorems and properties related to circles, such as the Inscribed Angle Theorem, which is essential in solving such problems.
Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.
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![### Circle and Angles Transcription
#### Problem 3
**Diagram Explanation:**
A circle is given with points labeled P, Q, and R on its circumference. A line segment PQ is drawn from point P to point Q, and another line segment PR is drawn from point P to point R. The interior point S is marked where the two line segments intersect the circle again at R and Q respectively.
**Mathematical Notation and Question:**
\[ m \angle PQR = \underline{\hspace{5cm}} \]
**Question:**
Calculate or provide the measure of angle PQR based on the given circle and its segments.
---
This image and associated question are meant to help students understand the relationships and angle measures within a circle. The terms and points labeled (P, Q, R, S) are utilized in typical geometric problems to illustrate properties of circles, angles, and intersecting line segments.
Remember, the measure \( m \) of an angle is typically found using various geometric theorems and properties related to circles, such as the Inscribed Angle Theorem, which is essential in solving such problems.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F930d7974-4794-47f1-b792-8faf44a50acb%2F75cb19f7-954c-4661-82f2-b1615f1e64aa%2Fdm45kc_processed.jpeg&w=3840&q=75)
