%3D In circle Q with m/PSR= 30, find the mZPQR. Q R P. S

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter87: An Introduction To G- And M-codes For Cnc Programming
Section: Chapter Questions
Problem 23A: Write a G-code program for the counterclockwise arc with starting point (-40, -20), ending point...
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**Problem Statement:**

In circle \( Q \) with \( m \angle PSR = 30^\circ \), find the \( m \angle PQR \).

**Diagram Explanation:**

- The diagram shows a circle with center labeled \( Q \).
- Four points, labeled \( P \), \( Q \), \( R \), and \( S \), are positioned on or inside the circle.
- The points are connected with line segments according to the following:
  - \( PQ \) is a line segment connecting points \( P \) and \( Q \).
  - \( QR \) is a line segment connecting points \( Q \) and \( R \).
  - \( PS \) is a line segment connecting points \( P \) and \( S \).
  - \( SR \) is a line segment connecting points \( S \) and \( R \).
  - \( QS \) is a line segment connecting points \( Q \) and \( S \).
- \( \angle PSR \) is given as 30 degrees.

To find the measure of \( \angle PQR \), use the properties and theorems of circles and angles subtended by the same arc.
Transcribed Image Text:**Problem Statement:** In circle \( Q \) with \( m \angle PSR = 30^\circ \), find the \( m \angle PQR \). **Diagram Explanation:** - The diagram shows a circle with center labeled \( Q \). - Four points, labeled \( P \), \( Q \), \( R \), and \( S \), are positioned on or inside the circle. - The points are connected with line segments according to the following: - \( PQ \) is a line segment connecting points \( P \) and \( Q \). - \( QR \) is a line segment connecting points \( Q \) and \( R \). - \( PS \) is a line segment connecting points \( P \) and \( S \). - \( SR \) is a line segment connecting points \( S \) and \( R \). - \( QS \) is a line segment connecting points \( Q \) and \( S \). - \( \angle PSR \) is given as 30 degrees. To find the measure of \( \angle PQR \), use the properties and theorems of circles and angles subtended by the same arc.
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