**Title: Proving Angle Measurements Using Given Information****Objective:** Use the given information to prove that \( m \angle 2 = m \angle 4 \).**Diagram Explanation:**The image shows a geometric diagram consisting of two intersecting lines forming four angles at points \( Q, R, \) and \( S \). - Point \( P \) is an endpoint of one ray, and point \( T \) is an endpoint of another ray.- The angles formed at these intersections are labeled as angles 1, 2, 3, and 4.- The angles and corresponding points are denoted as \(\angle PQR\) and \(\angle TSR\).**Given Information:**1. \( m \angle PQR = m \angle TSR \)2. \( m \angle 1 = m \angle 3 \)**Proof Required:** Show that \( m \angle 2 = m \angle 4 \).**Proof Framework:**- **Statement 1:** \( m \angle PQR = m \angle TSR \) - **Reason 1:** Given- **Statement 2:** \( m \angle 1 = m \angle 3 \) - **Reason 2:** Given- **Statement 3:** \( m \angle 2 = m \angle 4 \) - **Reason 3:** This is to be proven**Conclusion:** By using the given equalities and the properties of angles, you can deduce the equality between angles 2 and 4.

Name: **Title: Proving Angle Measurements Using Given Information****Object
Uploaded: 2024-03-20T06:47:08.000Z
Channel: Bartleby
Description: **Title: Proving Angle Measurements Using Given Information****Objective:** Use the given information to prove that \( m \angle 2 = m \angle 4 \).**Diagram Explanation:**The image shows a geometric diagram consisting of two intersecting lines formin