Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter6: Circles
Section6.1: Circles And Related Segments And Angles
Problem 27E: A ceiling fan has equally spaced blades. What is the measure of the angle formed by two consecutive...
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Transcribed Image Text:**Geometry Problem: Angle Measurement in a Rectangle**
**Problem Statement:**
In the given rectangle, what is the measure of ∠1?
**Diagram Explanation:**
The diagram provided illustrates a rectangle with two diagonals intersecting, creating four angles at the point of their intersection. The angles at the point of intersection are labeled and have the following measurements:
- The top left angle is labeled ∠4.
- The top right angle is labeled ∠3.
- The bottom left angle is labeled ∠1.
- The bottom right angle is labeled ∠2.
- The angle ∠2 is specifically marked as measuring 106°.
**Your Answer:**
______
This problem requires determining the measure of ∠1 based on the properties of the angles formed by the intersecting diagonals in a rectangle. The sum of the opposite angles formed at the intersection of the diagonals of a rectangle is 180°.
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