### Geometry Problem Explanation#### Problem Statement:The image shows a geometric figure with points labeled as \( W, X, Y, \) and \( Z \), forming two intersecting triangles inside a quadrilateral. The following conditions and measurements are provided:1. **Condition**: \( XY = WZ \)2. **Angle Measurements**: - \( m\angle 2 = 36^\circ \) - \( m\angle W = 57^\circ \)3. **Objective**: Find \( m\angle 3 \)#### Diagram Description:The diagram consists of two intersecting triangles within a larger quadrilateral:- **Vertices**: - \(W\) on the bottom left of the diagram. - \(X\) on the top left of the diagram. - \(Y\) on the top right of the diagram. - \(Z\) on the bottom right of the diagram.- **Lines and Angles**: - Line segments \(WX\), \(XY\), \(YZ\), and \(ZW\). - The quadrilateral forms two triangles \(WXY\) and \(XYZ\). - Angles within the quadrilateral are labeled as \(1, 2, 3,\) and \(4\).#### Given Angles:- \( m\angle 2 = 36^\circ \)- \( m\angle W = 57^\circ \)#### Task:Find the measure of \( \angle 3 \).#### Solution Steps:To find \( m\angle 3 \), follow these logical steps of reasoning involving triangle properties and exterior angles:1. **Triangle \( WXY \)**: - Using the given \( m\angle W = 57^\circ \) and \( m\angle 2 = 36^\circ \).2. **Triangle Angle Sum Property**: - The sum of angles in any triangle is \( 180^\circ \). - Therefore, we can write the equation for \( \triangle WXY \): \[ m\angle 1 + m\angle 2 + m\angle W = 180^\circ \] - Substituting the given values: \[ m\angle 1 + 36^\circ + 57^\circ = 180^\circ \] \[ m\angle 1 =

Name: ### Geometry Problem Explanation#### Problem Statement:The image show
Uploaded: 2024-03-20T06:38:44.000Z
Channel: Bartleby
Description: ### Geometry Problem Explanation#### Problem Statement:The image shows a geometric figure with points labeled as \( W, X, Y, \) and \( Z \), forming two intersecting triangles inside a quadrilateral. The following conditions and measurements are pro