Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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![## Find the Missing Angles
The diagram provided is a geometric figure resembling a kite or rhombus with the following details:
- It shows a quadrilateral with markings indicating two pairs of congruent adjacent sides.
- There are internal angles marked as follows:
- \( \angle 1 \)
- \( \angle 2 \)
- \( \angle 3 \)
- There is one angle in the top right triangle labeled as \( 27^\circ \).
### Questions:
**Given the information in the diagram, determine the measures of the missing angles:**
1. \( m\angle 1 = \) [input box]
2. \( m\angle 2 = \) [input box]
3. \( m\angle 3 = \) [input box]
To solve these, one typically uses properties of geometric shapes (like kites and triangles) and angle relationships (such as the sum of interior angles in triangles and the symmetric properties of kites).
Note:
- The sum of the angles in any triangle is \( 180^\circ \).
- In a kite, diagonals intersect at right angles.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8136947a-0bb7-4e41-81fd-3a7192541857%2F6cdba77b-747f-45dd-8341-a28ccb9d59ba%2Fptapi4m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Find the Missing Angles
The diagram provided is a geometric figure resembling a kite or rhombus with the following details:
- It shows a quadrilateral with markings indicating two pairs of congruent adjacent sides.
- There are internal angles marked as follows:
- \( \angle 1 \)
- \( \angle 2 \)
- \( \angle 3 \)
- There is one angle in the top right triangle labeled as \( 27^\circ \).
### Questions:
**Given the information in the diagram, determine the measures of the missing angles:**
1. \( m\angle 1 = \) [input box]
2. \( m\angle 2 = \) [input box]
3. \( m\angle 3 = \) [input box]
To solve these, one typically uses properties of geometric shapes (like kites and triangles) and angle relationships (such as the sum of interior angles in triangles and the symmetric properties of kites).
Note:
- The sum of the angles in any triangle is \( 180^\circ \).
- In a kite, diagonals intersect at right angles.
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